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         Sylow Ludwig:     more detail
  1. Mathématicien Norvégien: Niels Henrik Abel, Sophus Lie, Atle Selberg, Thoralf Skolem, Ludwig Sylow, Kristen Nygaard, Axel Thue, Viggo Brun (French Edition)

21. Editions Jacques Gabay - ABEL : Œuvres Complètes
Translate this page Deuxième édition, publiée par ludwig sylow et Sophus Lie Christiania, Imprimeriede Grøndahl and Son, 1881 2 volumes. suivi de . Carl-Anton BJERKNES
http://www.gabay.com/sources/Liste_Fiche.asp?CV=2

22. Secondary Literature About Julius Petersen
The mathematical correspondence between Julius Petersen and ludwig sylow. When writing his doctoral dissertation in 187071 Petersen asked sylow for
http://www.math.ku.dk/ths/petersen_j/seclit.htm
Secondary literature about Julius Petersen
Major secondary publications of Petersen
The mathematical journal Discrete Mathematics celebrated the centennial of Petersen's article on graph theory in 1991. Volume 100 and 101 of the journal consisted solely of articles with connection to Petersen and his works. Together with the article by Lützen (item 4) this is the most important secondary sources of Petersen's life and works.
  • Julius Petersen 1839-1910: A biography. Discrete Mathematics (1992), pp. 9-82.
    Article in English. This is the most detailed biography in English of Petersen. It discusses Petersen's mathematical works, but it also includes his economical, social and pedagogical activities.
  • Sabidussi, Gert: Correspondence between Sylvester, Petersen, Hilbert and Klein on invariants and the factorisation of graphs 1889-1891. Discrete Mathematics (1992), pp. 99-155.
    Article in English containing 47 letters (translated into English) shedding some light on the background and origin of Petersen's famous paper on graph factorisation, and on his abortive collaboration with Sylvester.
  • 23. FIFA.com The Official Web Site Of The Fédération Internationale De Football As
    Ludvig sylow; Netherlands Carl Anton Wilhelm Hirschmann; Switzerland Victor E.Schneider; the Madrid Football Club André Espir; Sweden ludwig sylow.
    http://www.fifa.com/en/history/history/0,3504,4,00.html
    Wednesday, 07 September 2005 Home News
    Youth Women's History of
    Football Developing
    the Game FIFA Fair
    Play Marketing
    Media
    Services FIFA
    Organisation Regulations
    History of Football Home
    FIFA Centennial History of the Game History of the Laws of the Game ... The International FA Board History of FIFA Past FIFA Presidents
    History of Football
    History of FIFA advanced search ... printer friendly version
    Where it all began
    • France Belgium Denmark - Dansk Boldspil Union DBU Netherlands - Nederlandsche Voetbal Bond NVB Spain - Madrid Football Club Sweden Switzerland - Association Suisse de Football ASF
    First FIFA Statutes France, 1904-1906 The second FIFA Congress took place in Paris from 10 to 12 June 1905. In the meantime, the Associations from Germany, Austria, Italy and Hungary had joined FIFA; Scotland, Wales and Ireland would follow England's example. And one was already talking about an international competition to take place in 1906. It would consist of four groups and Switzerland would be in charge of organising the semi-finals and the Final. According to its meaning, one first thought of staging it with the best club teams. Moreover, the Swiss Vice President Victor Schneider had already donated a trophy. DANIEL BURLEY WOOLFALL England, 1906-1918

    24. Quiz Access
    4. Peter ludwig Mejdell sylow (sylow s First Theorem). d. 2x2 matrices withdeterminant 1 satisfying A times A transpose equals the identity form a group
    http://www.mathsci.appstate.edu/~sjg/class/3110/mathfestalg2000/quiz4.html
    alert("Time remaining: 15 min.") quiz 4 algebraic structures Name DrSarah Greenwald Start Time: Aug 13, 2000 19:11 Time Allowed: 15 min Number of Questions:
    Question 1 (10 points)
    Match the mathematician with the example that illustrates their math. 1. Leopold Kronecker (Fundamental Theorem of Finite Abelian Groups)
    2. Marjorie Lee Browne b. Z_3 is a finite field 3. Johann Carl Friedrich Gauss (Fundamental Theorem of Algebra)
    4. Peter Ludwig Mejdell Sylow (Sylow's First Theorem)
    d. 2x2 matrices with determinant 1 satisfying A times A transpose equals the identity form a group under matrix multiplication. 5. Sir William Rowan Hamilton
    e. The quaternions are a ring that are not abelian under multiplication since ij=k, but ji=-k 6. Evariste Galois
    f. When we adjoin any root r of f(x)=x^6+6x^5+17x^4+32x^3+37x^2+26x+6 to the complex numbers C, we still get C. I.e. C(r)=C for all roots r. 7. Emmy Amalie Noether
    g. Z_6 is a ring but not a field 8. Julius Wihelm Richard Dedekind
    h. Z satisfies the ACC condition on ideals since every ascending chain of ideals terminates at some point. Choose Match a b c d e f g h Choose Match a b c d e f g h Choose Match a b c d e f g h Choose Match a b c d e f g h Choose Match a b c d e f g h Choose Match a b c d e f g h Choose Match a b c d e f g h Choose Match a b c d e f g h
    Question 2 (5 points)
    Why isn't Z_6 a finite field?

    25. Quiz Access
    to the complex numbers C, we still get C. Ie C(r)=C for all roots r. 4.Peter ludwig Mejdell sylow (sylow s First Theorem)
    http://www.mathsci.appstate.edu/~sjg/class/3110/mathfestalg2000/quiz2.html
    alert("Your time is up. Please submit your quiz now.") quiz 2 (groups) Name DrSarah Greenwald Start Time: Aug 13, 2000 19:08 Time Allowed: 12 min Number of Questions:
    Question 1 (8 points)
    Match the mathematician with the example that illustrates their math. 1. Leopold Kronecker (Fundamental Theorem of Finite Abelian Groups)
    2. Marjorie Lee Browne
    3. Johann Carl Friedrich Gauss (Fundamental Theorem of Algebra)
    c. When we adjoin any root r of f(x)=x^6+6x^5+17x^4+32x^3+37x^2+26x+6 to the complex numbers C, we still get C. I.e. C(r)=C for all roots r. 4. Peter Ludwig Mejdell Sylow (Sylow's First Theorem)
    d. 2x2 matrices with determinant 1 satisfying A times A transpose equals the identity form a group under matrix multiplication. Choose Match a b c d Choose Match a b c d Choose Match a b c d Choose Match a b c d
    Question 2 (3 points)
    What is the negation of the closure condition of groups:
    For all a,b in G, a*b in G. For all a,b in G, a*b is not in G. There exists a in G s.t. for all b in G, a*b is not in G. There exists a in G, there exists b in G s.t. a*b is not in G. There exists a not in G, there exists b not in G s.t. a*b is not in G.

    26. 3P5.11Sylow.html
    ludwig sylow (18321918) was a Norwegian mathematician who discovered the firstdeep theorems connecting number theory to the structure of finite groups.
    http://www.maths.uwa.edu.au/~schultz/3P5.2000/3P5.11Sylow.html
    Part 11: Sylow's Theorems
    Sylow's First Theorem Ludwig Sylow (1832-1918) was a Norwegian mathematician who discovered the first deep theorems connecting number theory to the structure of finite groups. He was not aware of group actions so his proofs were long and complicated inductions, but nowadays these proofs are a breeze. First we need a preliminary result. Definition A p-group is a group G whose order is a power of a prime p. It follows from Lagrange's Theorem that if G is a p-group, then every element has p-power order and from Cauchy's Theorem that if G is a group in which every element has p-power order, then G is a p-group. Notation Let G be a group acting on a set X . Extending our previous notation, let Y be a subset of X and H a subset of G . Define
  • G Y G : y g stabilizer of Y in G , a subgroup of G X H X : x g fixed set of H Y H g G is just the orbit of x. In case H is a subgroup and Y is a union of orbits of H, H Y is the group H acting on the set Y.
  • Cauchy's Theorem is a first step towards a converse of Lagrange's Theorem. A full converse would state that if n is a positive integer dividing the order of a finite group G, then G has a subgroup of order n. Of course this is false - we know that A A is simple. Sylow's Theorem says that nevertheless the statement is true if n is a prime power.

    27. Beezer's Academic Genealogy
    Marius Sophus Lie MHM; Peter ludwig Mejdell sylow MHM Although mathematicswas taught by such people as Bjerknes and sylow, Lie was not much
    http://buzzard.ups.edu/genealogy.html
    Beezer's Academic Genealogy
    Here it is the succession of PhD advisers and students that goes backwards in time from my own degree. For the later entries it is not clear that there was a formal advisor/student/degree relationship, but there is evidence that one person was influenced in their education by the other. It seems odd that [TCSG] lists Ore as a student of Skolem, with Ore's degree awarded in 1924 while [BDM] lists Skolem's degree as being given in 1926.
    Tree
    • Paul Morris Weichsel (Cal Tech 1960) [ MGP Richard Albert Dean (Ohio State 1953) [ MGP Marshall Hall, Jr. (Yale University 1936) [ MGP TCSG MGP TCSG Albert Thoralf Skolem [ TCSG MHM ][BDM] Axel Thue [ TCSG MHM ] [BDM] Marius Sophus Lie [ MHM Peter Ludwig Mejdell Sylow [ MHM
    The following quotes are from articles in the Biographical Dictionary of Mathematicians [BDM]:
    • Skolem: "In the latter year [1916] he returned to Oslo, where he was made Dozent in 1918. He received his doctorate in 1926." (H. Oettel, p. 2296) Thue: "Thue enrolled at Oslo University in 1883 and became a candidate for the doctorate in 1889." (Viggo Brun, p. 2460)

    28. December 2004
    ludwig sylow, 13 George Polya, 14 Tycho Brahe, 15 János Bolyai, 16 ViktorYakovlevich Bunyakovsky, 17 Mary Cartwright, 18 Roger Lyndon
    http://mathforum.org/~judyann/calendar/December2004.html
    December 2004
    Can you identify the pictured Mathematicians? Sunday Monday Tuesday Wednesday Thursday Friday Saturday
    Christine Ladd-Franklin
    Paul du Bois-Reymond
    John Backus
    Ludwig Bieberbach
    Arnold Sommerfeld
    George Uhlenbeck
    Mary Ellen Rudin
    Julia Bowman Robinson
    Grace Hopper
    Ada Lovelace Ludwig Sylow George Polya Tycho Brahe Viktor Yakovlevich Bunyakovsky Mary Cartwright Roger Lyndon Leon Mirsky Oronce Fine John Ringrose Srinivasa Ramanujan Georgii Pfeiffer Charles Hermite Antoni Zygmund John Conway Johannes Kepler John von Neumann Thomas Stieltjes Stanislaw Saks Carl Ludwig Siegel A quotation for December: Ada Lovelace (1815 - 1852) The Analytical Engine weaves algebraic patterns, just as the Jacquard loom weaves flowers and leaves. Quoted in D MacHale, Comic Sections (Dublin 1993) This calendar is available in a printable PDF format. Back to calendar page.

    29. Ludwig Sylow Université Montpellier II
    Translate this page ludwig sylow (1832-1918). Cette image et la biographie complète en anglais résidentsur le site de l’université de St Andrews Écosse
    http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1865

    30. Niels Henrik Abel -- Facts, Info, And Encyclopedia Article
    and a more complete edition by (Click link for more info and facts about ludwigsylow) ludwig sylow and (Click link for more info and facts about Sophus
    http://www.absoluteastronomy.com/encyclopedia/n/ni/niels_henrik_abel.htm
    Niels Henrik Abel
    [Categories: Group theorists, Norwegian mathematicians, 1829 deaths, 1802 births]
    Niels Henrik Abel (A Scandinavian language that is spoken in Norway) Norwegian (A person skilled in mathematics) mathematician , was born in (Click link for more info and facts about Finnøy) Finnøy . In 1815 he entered the cathedral school at Christiania (as (The capital and largest city of Norway; the country's main port; located at the head of a fjord on Norway's southern coast) Oslo was then called), and three years later he gave proof of his mathematical genius by his brilliant solutions of the original problems proposed by Bernt Holmboe. About this time, his father, a poor Protestant minister, died, and the family was left in straitened circumstances; but a small pension from the state allowed Abel to enter Christiania University in 1821.
    Abel's first notable work was a proof of the impossibility of solving the (Click link for more info and facts about quintic equation) quintic equation by radicals (see (Click link for more info and facts about Abel-Ruffini theorem) Abel-Ruffini theorem .) This investigation was first published in 1824 in abstruse and difficult form, and afterwards (1826) more elaborately in the first volume of

    31. List Of Group Theory Topics -- Facts, Info, And Encyclopedia Article
    (Click link for more info and facts about ludwig sylow) ludwig sylow (Click linkfor more info and facts about Ferdinand Georg Frobenius) Ferdinand Georg
    http://www.absoluteastronomy.com/encyclopedia/L/Li/List_of_group_theory_topics.h
    List of group theory topics
    [Categories: Topic lists, Group theory, Abstract algebra]
    This is a list of group theory topics , by Wikipedia page. to provide an overview of the topic and to allow those interested to use the "Related changes" feature to keep abreast of edits in this area.
    See also: (Click link for more info and facts about List of abstract algebra topics) List of abstract algebra topics (Click link for more info and facts about List of category theory topics) List of category theory topics (Click link for more info and facts about list of Lie group topics) list of Lie group topics
    History, major contributors
    (Click link for more info and facts about Joseph-Louis Lagrange) Joseph-Louis Lagrange
    (Norwegian mathematician (1802-1829)) Niels Abel
    (French mathematician who described the conditions for solving polynomial equations; was killed in a duel at the age of 21 (1811-1832)) Evariste Galois
    Augustin Louis Cauchy
    (Click link for more info and facts about Arthur Cayley) Arthur Cayley
    (Click link for more info and facts about Otto Ludwig Hölder) Otto Ludwig Hölder
    (Click link for more info and facts about Camille Jordan) Camille Jordan
    (Click link for more info and facts about Ludwig Sylow) Ludwig Sylow
    (Click link for more info and facts about Ferdinand Georg Frobenius) Ferdinand Georg Frobenius (Click link for more info and facts about Sophus Lie) Sophus Lie (German mathematician who created the Klein bottle (1849-1925)) Felix Klein (Click link for more info and facts about William Burnside)

    32. Niels Henrik Abel
    edited by Holmboe and published in 1839 by the Swedish government, and a morecomplete edition by ludwig sylow and Sophus Lie was published in 1881.
    http://www.nndb.com/people/908/000093629/
    This is a beta version of NNDB Search: All Names Living people Dead people Band Names Book Titles Movie Titles Full Text for Niels Henrik Abel Born: 5-Aug-1802
    Birthplace: Island of Finnøy, Norway
    Died: 6-Apr-1829
    Location of death: Froland, Norway
    Cause of death: unspecified
    Gender: Male
    Religion: Lutheran
    Ethnicity: White
    Sexual orientation: Straight
    Occupation: Mathematician Level of fame: Niche
    Executive summary: Studied elliptics and hyperelliptics Norwegian mathematician, born at Finnøy on the 25th of August 1802. In 1815 he entered the cathedral school at Christiania, and three years later he gave proof of his mathematical genius by his brilliant solutions of the original problems proposed by Bernt Michael Holmboe. About this time, his father, a poor Protestant minister, died, and the family was left in straitened circumstances; but a small pension from the state allowed Abel to enter Christiania University in 1821. His first notable work was a proof of the impossibility of solving the quintic equation by radicals. This investigation was first published in 1824 and in abstruse and difficult form, and afterwards (1826) more elaborately in the first volume of Crelle's Journal Legendre Crelle's Journal , were edited by Holmboe and published in 1839 by the Swedish government, and a more complete edition by Ludwig Sylow and Sophus Lie was published in 1881.

    33. Proposal For The MAA Mathematical Study Tour In 2008, Norway: The Land Of Abel A
    We may also visit places associated with ludwig sylow, Caspar Wessel, ThoralfSkolem, Axel Thue, Viggo Brun and Carl Anton, Vilhelm and Jacob Bjerknes.
    http://www.math.nus.edu.sg/aslaksen/maa2008.html
    Proposal for the MAA Mathematical Study Tour in 2008, Norway: The Land of Abel and Lie.
    The Land of Abel and Lie
    I had a wonderful time on the Mathematical Association of America's Mathematical Study Tour to Mexico in 2005, and if you look at the Photo Page , I'm sure you'd wish you had gone on it, too. Now here is your chance! I feel that a Mathematical Study Tour of Norway would be a great idea and I have decided to propose a tour to Norway in 2008 called Norway: The Land of Abel and Lie . Make sure you don't lose out this time! Niels Henrik Abel (1802-1829) and Sophus Lie (1842-1899) need no introduction to mathematicians. However, while most mathematicians are virtually unknown to the general public, Niels Henrik Abel was an important figure in Norwegian history. He has been commemorated on stamps three times, on banknotes twice, and once on a coin. There is also a statue of him outside the Royal Castle. The Abel Prize , with its fund of 200 million kroners (about 30 million US dollars), shows clearly how even today Norwegian society values him. Fortunately for us, both Abel and Lie were born and grew up in some of the most spectacularly beautiful parts of Norway. After the Abel Bicentennial Conference in 2002 there was a

    34. New Page 1
    represented by ludwig sylow. · Switzerland Association Suisse de Football, ASF.represented by Victor E. Schneider. The First Executive Committee of
    http://www.asantekotokofc.com/Other Data/Fifa.htm
    World Soccer FEDERATION OF INTERNATIONAL FOOTBALL ASSOCIATIONS (FIFA): ORGANIZATION AND HISTORY Current Headquarters Geneva, Switzerland Website http://www.fifa.com/ FIFA FOUNDED: Date May 21, 1904 Place 229, Rue Saint Honore, Paris (in the rear of the headquarters of Union Francaise de sports Athletiques) Official Creation of FIFA was through the signing of the foundation act by delegates from the following associations Belgium - Union Belge des Sociétés de Sports, UBSSA represented by Louis Muhlinghaus and Max Kahn Denmark - Dansk Boldspil Union, DBU represented by Ludvig Sylow France - Union des Sociétés Françaises de Sports Athlétiques, USFSA represented by Robert Guérin and André Espir Netherlands - Nederlandsche Voetbal Bond, NVB represented by Carl Anton Wilhelm Hirschmann Spain - Madrid Football Club represented by André Espir Sweden - Svenska Bollspells Förbundet, SBF represented by Ludwig Sylow Switzerland - Association Suisse de Football, ASF represented by Victor E. Schneider

    35. Sylph - Definition Of Sylph By The Free Online Dictionary, Thesaurus And Encyclo
    Sylmar, Los Angeles, California sylow sylow subgroup sylow theorem sylow theorems sylow s theorem sylow, ludwig Mejdell
    http://www.thefreedictionary.com/sylph
    Domain='thefreedictionary.com' word='sylph' Your help is needed: American Red Cross The Salvation Army join mailing list webmaster tools Word (phrase): Word Starts with Ends with Definition subscription: Dictionary/
    thesaurus Computing
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    sylph
    Also found in: Wikipedia Hutchinson 0.03 sec. Page tools Printer friendly
    Cite / link Email Feedback sylph (s lf) n. A slim, graceful woman or girl. In the occult philosophy of Paracelsus, a being that has air as its element. [New Latin sylpha , perhaps blend of Latin sylvestris of the forest (from silva, sylva forest ) and Latin nympha nymph ; see nymph Thesaurus Legend: Synonyms Related Words Antonyms Noun sylph - a slender graceful young woman adult female woman - an adult female person (as opposed to a man); "the woman kept house while the man hunted" sylph - an elemental being believed to inhabit the air imaginary being imaginary creature - a creature of the imagination; a person that exists only in legends or myths or fiction Mentioned in References in classic literature No references found He tells how her guardian sylph brings a morning dream to warn her of coming danger.

    36. List Of Group Theory Topics - Definition Of List Of Group Theory Topics In Encyc
    Arthur Cayley Otto ludwig Hölder Camille Jordan ludwig sylow Generating set of a group sylow theorem Product of groups Direct product
    http://encyclopedia.laborlawtalk.com/List_of_group_theory_topics
    Add to Favorites
    General
    Encyclopedia Legal ... Law forum Search Word: Visit our Law forums
    This is a list of group theory topics , by Wikipedia page. to provide an overview of the topic and to allow those interested to use the "Related changes" feature to keep abreast of edits in this area. See also: List of abstract algebra topics List of category theory topics list of Lie group topics Contents showTocToggle("show","hide") 1 History, major contributors
    2 Famous problems

    3 Applications

    4 Definitions in common with other mathematical ideas
    ...
    15 Other topics
    History, major contributors
    Famous problems
    Applications
    Standard Model
    Definitions in common with other mathematical ideas
    Mathematical objects which have (or make use of) a group operation
    Abstract algebra
    Other mathematical disciplines which make great use of groups
    Basic properties of groups and subgroups
    Group homomorphisms

    37. MathLAN Workstations
    Georg Friedrich Bernhard Riemann; Julia Bowman Robinson; Norman E. Steenrod;Peter ludwig Mejdell sylow; Alfred Tarski; John Venn
    http://www.math.grinnell.edu/mathlan/workstations.xhtml
    MathLAN workstations
    Department front door Grinnell College front door The origin (links for local users) Site map ... The inactive list The networked computers and printers that compose MathLAN are named after famous mathematicians, computer scientists, and physicists. The links below provide biographical information about them.
    Workstations

    38. A Short History
    Josef ludwig Raabe (18011859) transforms the problem of finding roots to ludwig sylow (1832-1918) puts the finishing touches on Galois s proofs on
    http://library.wolfram.com/examples/quintic/timeline.html
    PreloadImages('/common/images2003/btn_products_over.gif','/common/images2003/btn_purchasing_over.gif','/common/images2003/btn_services_over.gif','/common/images2003/btn_new_over.gif','/common/images2003/btn_company_over.gif','/common/images2003/btn_webresource_over.gif');
    A Short History
    Index
    15th Century
    ca. 2000 BC
    • Babylonians solve quadratics in radicals.
    ca. 300 BC
    • Euclid demonstrates a geometrical construction for solving a quadratic.
    ca. 1000
    • Arab mathematicians reduce: 2p p ux + vx = w to a quadratic.
    • Omar Khayyam (1050-1123) solves cubics geometrically by intersecting parabolas and circles.
    ca. 1400
    • Al-Kashi solves special cubic equations by iteration.
    • Nicholas Chuqet (1445?-1500?) invents a method for solving polynomials iteratively.
    16th Century
    • Scipione del Ferro (1465-1526) solves the cubic: 3 x + mx = n but does not publish his solution.
    • Niccolo Fontana (Tartaglia) (1500?-1557) wins a mathematical contest by solving many different cubics, and gives his method to Cardan.
    • Girolamo Cardan (1501-1576) gives the complete solution of cubics in his book

    39. AlgebraResources - History
    Hamming, Richard W Jordan, Camille Lagrange, JosephLouis Noether, Emmy Pascal, Blaise sylow, ludwig Sylvester, James Joseph
    http://www.central.edu/AlgebraResources/ARHistory.html
    Links to History of Abstract Algebra
    Specific to Abstract Algebra
    Biographies of those who contributed to Algebra
    General Mathematical History

    40. George A. Miller Papers, UIUC Archives (Liberal Arts And Sciences, Mathematics D
    Correspondents include Luigi Bianchi, Salvatore Cherubini, J. Hadamard, James H.Jeans, Camille Jordan, ludwig sylow and Giulio Vivanti.
    http://web.library.uiuc.edu/ahx/uaccard/UAControlCard.asp?RG=15&SG=14&RS=25

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