21. Zassenhaus Lemma: Information From Answers.com hans Julius zassenhaus proved this lemma specifically to give the smoothest proof of the Schreier refinement theorem. The butterfly becomes apparent when http://www.answers.com/topic/zassenhaus-lemma

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Zassenhaus lemma Wikipedia Zassenhaus lemma In mathematics , the butterfly lemma or Zassenhaus lemma is a technical result on the lattice of subgroups of a group First, a definition. A group G , is an group if and only if there exists a set map where is the category of groups and is the set of group endomorphisms of G Lemma (Butterfly lemma): Say G is an group and A and C are subgroups . Suppose and are -subgroups. Then, A C B A D B is isomorphic to C A D C B D Hans Julius Zassenhaus proved this lemma specifically to give the smoothest proof of the Schreier refinement theorem . The 'butterfly' becomes apparent when trying to draw the Hasse diagram of the various groups involved. This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see Best of the Web Some good "Zassenhaus lemma" pages on the web: Math mathworld.wolfram.com

22. Zassenhaus 2001 Group Theory Conference New College of USF is hosting the zassenhaus Group Theory Conference on January 47, in the 1960 s at Ohio State/Denison University by hans zassenhaus. http://www.ncf.edu/poimenidou/Zass2001GTC.html

Zassenhaus Group Theory Conference New College of USF January 4-7, 2001 New College of USF is hosting the Zassenhaus Group Theory Conference on January 4-7, 2001 in Sarasota Florida .The Group Theory Conference at New College will continue the series of meetings that originated in the 1960's at Ohio State/Denison University by Hans Zassenhaus. The meetings are held at Ohio State or Denison in one year and other universities in alternate years. New College was the host of the 1997 Zassenhaus Group Theory Conference Please fill out the Registration and Travel Forms as early as you can UPDATES- Continue to check these updates on a regular basis for last minute announcements. 12/11/00: Tentative Schedule and Abstracts currently under construction. Please submit your title/ abstract/ travel forms asap. 12/12/00: I am trying to put together a Sunday morning outing to Myaka River State Park since the conference will be completed by Saturday. Is there any interest in this? Please e-mail me. Campus Map added to the web page. Please see below for details on the conference and banquet sites. 12/27/00: If you haven't booked your hotel yet, the Ramada Inn Airport is offering rooms at $49/night to guests of the "

23. DBLP: Hans Zassenhaus 3, hans zassenhaus Symbol Manipulation and Symmetry Breaking. European Conference on Computer Algebra (2) 1985 607 http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/z/Zassenhaus:Hans.html

Hans Zassenhaus List of publications from the DBLP Bibliography Server FAQ Coauthor Index - Ask others: ACM DL ACM Guide CiteSeer CSB ... Google Hans Zassenhaus: Symbol Manipulation and Symmetry Breaking. European Conference on Computer Algebra (2) 1985 Michael Pohst , Hans Zassenhaus: On unit computation in real quadratic number fields. EUROSAM 1979 Hans Zassenhaus: On the van der Waerden criterion for the group of an equation. EUROSAM 1979 Coauthor Index Michael Pohst DBLP: [ Home Author Title Conferences ... Michael Ley (ley@uni-trier.de) Wed Sep 7 21:24:16 2005

24. EUROSAM 1979 hans zassenhaus On the van der Waerden criterion for the group of an equation. 95107 BibTeX H. Bartz, K. Fischer, HG Folz, Horst Günter Zimmer Some http://www.informatik.uni-trier.de/~ley/db/conf/eurosam/eurosam1979.html

EUROSAM 1979: Marseille, France Edward W. Ng (Ed.): Symbolic and Algebraic Computation, EUROSAM '79, An International Symposiumon Symbolic and Algebraic Computation, Marseille, France, June 1979, Proceedings. Lecture Notes in Computer Science 72 Springer 1979, ISBN 3-540-09519-5 BibTeX DBLP Simplification Bruno Buchberger : A criterion for detecting unnecessary reductions in the construction of Groebner bases. 3-21 BibTeX : Unification of commutative terms. 22 BibTeX Michael R. Genesereth : Canonicity in rule systems. 23-29 BibTeX Applications in Physics John Fitch : A survey of symbolic computation in physics (invited). 30-41 BibTeX Anders Karlhede : Progress towards a solution of the equivalence problem in general relativity. 42-44 BibTeX A. Voros : Symbol calculus by symbolic computation and semi-classical expansions. 45-51 BibTeX M. Caffo E. Remiddi S. Turrini : An algorithm for the analytic evaluation of a class of integrals. 52-57 BibTeX Matrices and Equations David Y. Y. Yun Fred G. Gustavson : Fast computation of rational Hermite interpolants and solving Toeplitz system of equations via the extended Euclidean algorithm. 58-64 BibTeX Robert T. Moenck

25. Citation Index @ARTICLE{Zas, author = hans zassenhaus , title = A Remark on a Paper of O. Taussky , journal = Indiana Univ. Math. J. , fjournal = Indiana University http://www.iumj.indiana.edu/oai/1961/10/10012/10012.html

Home Current Issue FAQ Search ... Contact Us BibTeX @ARTICLE Zas, author Hans Zassenhaus title A Remark on a Paper of O. Taussky journal Indiana Univ. Math. J. fjournal Indiana University Mathematics Journal volume year issue pages issn coden IUMJAB mrclass amsrefs Zas article author Zassenhaus, Hans title A Remark on a Paper of O. Taussky journal Indiana Univ. Math. J. volume year number pages Other bibliographic snippets: RDF-Dublin Core metadata: What is this? Take me there... OAI metadata: What is this? Take me there...

26. AUM - Auburn University Montgomery Mathematics Conferences first organized in 1960 s by hans zassenhaus, Groups 99 The zassenhaus Group Theory Conference, May 2122, 1999, http://www.aum.edu/Zassenhaus/

aum sciences departments and undergraduate programs mathematics and pre-engineering > zassenhaus Zassenhaus 2005 Zassenhaus Group Theory Conference list of participants Program of the 2005 Zassenhaus Group Theory Conference Zassenhaus ZASSENHAUS GROUP THEORY CONFERENCE Auburn University Montgomery March 18-20, 2005 The Department of Mathematics with financial support from the AUM lectures program is pleased to be hosting the 2005 Zassenhaus Group Theory Conference on March 18-20, 2005 . This conference represents a continuation of the series of Ohio State-Denison Mathematics Conferences first organized in 1960's by Hans Zassenhaus, which are held in alternate years in Ohio, with the group-theorists meeting in the intervening years at various universities throughout the country. Recent conferences in this series: The XXVIIth Ohio State-Denison Mathematics Conference , June 11-13, 2004, The Ohio State University, Columbus, Ohio. 2003 Zassenhaus Group Theory Conference , March 14-16, 2003, University of Evansville, Evansville, IN. The XXVIth Ohio State-Denison Mathematics Conference 2001 Zassenhaus Group Theory Conference , January 4-7, 2001, New College of USF in Sarasota Florida.

27. Biography-center - Letter Z zassenhaus, hans wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/zassenhaus.html Zellweger, hans Ulrich www.whonamedit.com/doctor.cfm/51.html http://www.biography-center.com/z.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish Z 74 biographies Zada, al-Rumi Qadi www-history.mcs.st-and.ac.uk/~history/Mathematicians/Qadi_Zada.html Zajmi, Agim ww w.albanian-art.com/html/biography.html Zakharchenko, M V- www-history.mcs.st-and.ac.uk/~history/Mathematicians/Vashchenko.html Zanardi, Alessandro www.grandprix.com/gpe/drv-zanale.html Zanotti, Giampietro ww w.getty.edu/art/collections/bio/a3532-1.html Zapata, flag.blackened.net/re volt/ws/zapata41.html Zapatero, Jos e Luis Rodriguez www.spainview.com/biog21.html Zarankiewicz, Kazimierz www-history.mcs.st-and.ac.uk/~history/Mathematicians/Zarankiewicz.html Zaremba, Stanislaw www-history. mcs.st-and.ac.uk/~history/Mathematicians/Zaremba.html Zariski, Oscar www-history.mcs.st-and.ac.uk/~history/Mathematici ans/Zariski.html Zassenhaus, Hans

28. Study & Teaching - Mathematics - Other - Science & Technology - Books - Wal-Mart zassenhaus, hans J. Paperback, Dover Publications, 1999, ISBN 0486409228 Burchard, hans S. Hardcover, Springer Verlag, 2002, ISBN 3540435662 http://www.walmart.com/catalog/product_listing.gsp?cat=22020&path=0:3920:18865:1

29. AIP Niels Bohr Library Hilbert / Hermann Minkowski ; mit Beitr. u. hrsg. von L. Rüdenberg uH zassenhaus. Hilbert, David, 18621943. Rüdenberg, Lily,. zassenhaus, hans. http://www.aip.org/history/catalog/17268.html

If you are not immediately redirected, please click here My List - Help Browse Books Archival Resources Archival Finding Aids Photos Browse FAQs Past Searches History Home Search: Author Subject Title Journal/Newspaper Title Series Computer File (Software) Title Video Title Refine Search AIP Niels Bohr Library Item Information Holdings More by this author Minkowski, H. (Hermann), 1864-1909. Subjects Hilbert, David, 1862-1943. Mathematicians Correspondence, reminiscences, etc. Browse Catalog by author: Minkowski, H. (Hermann), 1864-1909. by title: Briefe an David Hilb... MARC Display by Minkowski, H. (Hermann), 1864-1909. Berlin ; Heidelberg ; New York : Springer, 1973. 1973. Call Number: N8 MIN:C Description: 165 p. : ill. ; 24 cm. Added Author: Hilbert, David, 1862-1943. Zassenhaus, Hans. Copy/Holding information Location Collection Call No. Status Niels Bohr Library Books General Collection N8 MIN:C In NBL Format: HTML Plain text Delimited Subject: Email to: Horizon Information Portal 3.0 Dynix

30. Set Theory - New And Used Books HARDCOVER ISBN 1124055134 MathematicsGroup Theory. USED, Standard. zassenhaus, hans - Theory of Groups CHELSEA PUBLISHING CO INC (ISBN 1124055134) http://www.isbn.pl/2008-4-Set-Theory.html

SET THEORY Language: English Deutsch Fran§ais Categories: Architecture Art Computers Cooking ... Elfriede Jelinek Top searches: Sloan Alfred P Jr Kennedy Tom John Jackman Jan Kmenta ... Mathematics Set Theory Keyword: Author: Title: ISBN: Book location: UK Ireland Germany France USA Canada Results: 81-100 of 500 Al-Gwaiz, M. A. Theory of Distributions ISBN: Hard Cover. Fine. Review Copy w/ publicity. 8vo. 280 pp. Vol. 159 Pure and Applied Mathematics: A Series of Monographs and Textbooks. Presents a rigorous introduction to the theory of distributions based on the duality of certain topological vector spaces. Explicates mathematical structures, including the spaces of distributions and their properties, as well as the Hilbert space aspect of the theory and its applications to typical boundary value problems for second-order linear partial differential equations. Publisher's sticker on ffep. Al-Gwaiz, M. A. - Theory of Distributions Marcel Dekker Incorporated, New York, USA, 1992 (ISBN: 0824786726) Price: US$ 100.00 More Set Theory from Peterson Theory of Arithmetic ISBN: 2 HARDCOVER ISBN: 0471683264 Mathematics-Number Theory. USED, Less Than Standard.

31. Suggested Readings In Algorithmic Number Theory 1993 ISBN 0817629130 Status ORDERED 000923 Author Pohst, M. / zassenhaus, hans Title Algorithmic algebraic number theory / M. Pohst, H. zassenhaus. http://www.msri.org/local/library/reading_lists/0001-ant.html

Suggested readings in Algorithmic number theory This list was provided by the organizers of the Fall 2000 program in Algorithmic number theory.

32. BIOGRAPHIES OF PAST NUMBER THEORISTS And VARIOUS ITEMS OF HISTORICAL INTEREST Sir Edward Maitland Wright, 19062005 (Daily Telegraph); hans zassenhaus. hans zassenhaus (MacTutor); hans zassenhaus (Ohio collection) http://www.numbertheory.org/ntw/N14.html

Biographies of past number theorists and various items of historical interest Cornell Digital Library Math Collection : Old Mathematics books listed by Title - including Hensel, Sommer Mathematicians of the Seventeenth and Eighteenth Centuries , Hasse's work on the Riemann hypothesis for curves over finite fields - An historical perspective by Professor Peter Roquette (plus notes on class-field theory, Artin L-functions, Erich Hecke) Two Hundred Years of Number Theory after Carl-Friedrich Gauss's Disquisitiones Arithmeticae , A list of lectures at an Oberwolfach conference, June 17-23, 2001 Aus der Geschichte der Zahlentheorie (Wolfgang Schwarz - pdf) Collected Works Collected papers of Peter Roquette , editors: Anthony V. Geramita and Paulo Ribenboim, Queens University Ouvres J.-P. Serre I-III , Springer 2003 , AMS Notices, March 2005 On the AMS Notices Publication of Krieger's Translation of Weil's 1940 Letter , by Serge Lang, AMS Notices, July 2005 Biographies The Man Who Knew Infinity (A life of the genius Ramanujan), R. Kanigel, Washington Square Press 1992 The Apprenticeship of a Mathematician The mountains of Pi , an article about Gregory and David Chudnovsky, by Richard Preston The Life of Alexandre Grothendieck , part (a), AMS Notices October 2004 The Life of Alexandre Grothendieck , part (b), AMS Notices November 2004 Prizes John Tate awarded a Wolf Prize for 2003 SASTRA Ramanujan Prize Serre receives Abel prize , Notices of the AMS, Volume 50, Number 6, 2003 Serre awarded Abel Prize Interview with Jean-Pierre Serre , NAMS February 2004

33. Wallpaper Groups: History In 1948 zassenhaus gave an algorithm to determine a complete set of Harold Brown, Rolf Bülow, Joachim Neubüser, hans Wondratschek, and hans zassenhaus. http://www.clarku.edu/~djoyce/wallpaper/history.html

History of crystallographic groups and related topics People have always been interested in patterns, both planar patterns and spacial patterns. Classification of patterns started two and a half millennia ago with the Pythagorean discovery that there are five regular solids: the tetrahedron, the cube, the octahedron, the dodecahedron, and the icosahedron. Archimedes generalized these to some nearly regular solids, now called Archimedean solids, such as the solid made out of pentagons and hexagons that is used for soccer balls and Buckyballs. Kepler found other nearly regular solids and noted the regular tessellations (tilings) of the plane. There are only three regular tessellations, one of triangles, one of squares, and one of hexagons. There are also several nearly regular tessellations analogous to the Archimedean solids. In the seventeenth century, Robert Hooke piled up "a company of bullets and some few other very simple bodies" to see the different ways that atoms could be arranged to build crystals, in particular, alum crystals. Classification in two and three dimensions In the nineteenth century the classification of planar and spacial lattices and patterns began. One of the problems was, of course, deciding when different patterns exhibited the same sort of regularity. A variety of classification methods were developed. At first, lattice structures were studied. Later, symmetries, and the way the symmetries were related, were used to make finer distinctions. The lattices were generally analyzed by means of quadratic forms using two variables in the planar case and three variables in the spacial case.

34. L. Scott - Collaborations 50, 56, Roggenkamp and Scott found a counterexample to a conjecture posed by hans zassenhaus, a stronger version of the problem, considered by http://www.math.virginia.edu/~lls2l/collaborations.htm

Although more than 20 items in Scott's bibliography are singly-authored, he often has preferred to work in collaboration. His principal collaborators are listed alphabetically below, followed by synopses of the collaborations, indexed to his bibliography. Michael Aschbacher, Professor of Mathematics, California Institute of Technology (NAS) George Avrunin, Professor of Mathematics, University of Massachusetts Edward Cline, Professor of Mathematics, University of Oklahoma Charles Curtis, Professor Emeritus, University of Oregon Jie Du, Senior Lecturer in Mathematics, University of New South Wales, Sydney Vlastimil Dlab, Distinguished Professor Emeritus, Carleton University, Ottawa (FRSC) Charles Dunkl, Professor of Mathematics, The University of Virginia Walter Feit, Professor Emeritus (deceased), Yale University (NAS) Wilburd van der Kallen, Department of Mathematics, University of Utrecht David Goldschmidt, Director of the Center for Communications Research, Princeton, formerly Professor of Mathematics, University of California at Berkeley Peter Hoefsmit, Industrial mathematician, Airborne Express Company

35. Blacker Hovse, House Members, Alpha List By Last Name, 10 Of 10 zassenhaus, hans Peter, 1966, 1970. Zats, Harold R. 1986, 1990. Zeidman, Kenneth, 1951, 1955. Zhang, Ning, 1993, DNG. Zhang, Qiong, 2003, DNG http://www.gdbg.org/alphaL_10.html

Blacker Hovse, House Members Alpha list by Last Name Page 10 of 10 Previous Year Main Page Official Blacker Hovse page ... Acronyms and Notes Name Frosh Grad Tompkins, Peter Lewis Toomey, Jonathan Edward Torkelson, John Mark DNG Townsend, Michael Jellison Trabert, Steven Gregory Tran-Nhut, Thanh-Van Tran, Thanh M. DNG Trapnell, Jr, Frederick MacKay Trauerman, Jr, Joeseph Klee Ex Traynor, Raymond William Tressel, Patricia Ellen Trott, Delano Brookings DNG Tryon, Robert Christian Tsao, Doris Y. Tserliangos, Platon Themistocles Tuan, Jian-Jin Tucker, John Douglas DNG Tuinenga, Paul William BS:1977 MS:1978 Tung, Ka-Kit BS: 1972 MS:1972 Turk, Benjamin Edward Turner, Marc Louis Turtledove, Harry DNG Twining, David S. Tyler, Douglas Blaine Tyler, Mattew L. Tyler, William King Tyrrill, Alfred Ramsey Tytell, David Edward Uehara, Dean Tsutomu Uhl, Joathan Thomas Upchurch, Paul Robert Upchurch, Sean Alan Updike, Jared Fisher Uyeda, Norman Minoru Vail, Edward Case Valle-Riestra, Joseph Frank Vargas, Catherine

36. Pigeonhole Principle Later, as a graduate student, privileged to be in the presence of the world renowned mathematician hans zassenhaus, I picked up a copy of a text on group http://www.cut-the-knot.com/pigeonhole/group.shtml

Username: Password: Sites for parents Awards Interactive Activities CTK Exchange ... Sites for parents Given any sequence of n integers, positive or negative, not necessarily all different, some consecutive subsequence has the property that the sum of the members of the subsequence is a multiple of n. The following story has been communicated to me by William A McWorter Jr. When I was an undergraduate, a buddy, Wally Shook, (who passed away too young) posed the following problem to me in a milk bar (he was not the original author of the problem). Given any sequence of n integers, positive or negative, not necessarily all different, some consecutive subsequence has the property that the sum of the members of the subsequence is a multiple of n. I was totally unable to solve this problem, try as I might. Later, as a graduate student, privileged to be in the presence of the world renowned mathematician Hans Zassenhaus, I picked up a copy of a text on group theory he wrote when he was only 18. There, as an exercise, appeared the same problem phrased for arbitrary finite groups. Given any sequence of n elements of a group of order n, some consecutive subsequence has the property that the product of the members of the subsequence, in sequence order, is the identity element of the group.

37. Mathematics List Pt. 11. zassenhaus, hans. The Theory of Groups. 159 pgs. Chelsea Publishing Company. 1949 (1949) Hardcover. Very good condition. MATH11974 $20.00. Zilber, Boris. http://www.significantbooks.com/mthl11.htm

Go back to Catalog Lists To inquire about any of these items contact us by e-mail at: inquire@significantbooks.com Start of Math page 11. Go To Math page Mathematics List Page 11. Authors, Sto. thru Z. Stoltz, Otto; J. A Gmeiner. Theoretische Arithmetik. I. Abtheilung: Allgemeines die Lehre von den Rationalen Zahlen. II. Abtheilung. Die Lehren Von den Reellen und von den Complexex Zahlen. Stolz, Otto. Grundzüge der Differential und Integralrechnug. Dritter Theil: Die Lehre von den Doppelentegrales. 296 pp. Teubner. Leipzig 1899 ( Hardback ) Good condition, new spine covering of cloth is soiled. ( This is volume three of the work by Stolz on differential and Integral calculus. This volume is on double integrals. ) MATH13728 $22.00 Stoll, Robert R. Sets, Logic and Axiomatic Theories. 2nd. ed. 233 pg. Freeman (1974) (Hardback) Very good condition, sturdy, text clean, but library markings inside and outside. (Apparently intended as a first text in the subject, but by no means a watered-down presentation. ) MATH10862 $12.00 Struppa, Daniele Carlo.

38. Research I met a very different kind of mathematical animal hans zassenhaus, My supervisor zassenhaus did not tell me (of course, he knew I was not in that http://www.math.ubc.ca/~hoek/Research/research.html

My Research Story Like Ludwig van Beethoven's, my creative life falls into three periods, but unlike his, my middle one was perfectly fallow : an unsightly hiatus mars my list of publications in the seventies, the hippie decade. Rather than trying your patience with some unlikely explanation for this shameful blot on my escutcheon, I shall concentrate on outlining the contents of the first and third periods. Roughly speaking, the former is abstract and theoretical, delighting in concepts and valuing form over substance, while the latter is concrete and computational, using modest tools and preferring ugly facts to shapely froth. This points to a second difference between Ludwig and myself : while he stubbornly followed his genius, I found nothing better to follow than the fashion of the day. In the 1950's the accepted wisdom was that mathematics was a deductive science based on axioms. Here at UBC (where I started and ended my career), there were still some dinosaurs who took pride in not knowing what a Banach algebra was, but the in-crowd cultivated general topology and ring theory. Robert Langlands, a fellow student, occasionally liked to organise informal seminars to plough through something he wanted to learn. In the summer of 57 he had chosen Jabobson's new book on the structure of rings just my cup of tea. (To be continued)

39. SIREV Volume 7 Tatsuo Kawata pages 586 588; Generators and Relations for Discrete Groups, second edition (HSM Coxeter and WOJ Moser) hans zassenhaus http://locus.siam.org/SIREV/vol_7_iss_4.html

SIAM's Online Journal Archive SEEK EXPLORE LOCATE SIREV advanced search Home Order ... Theory of Probability and Its Applications By using LOCUS you agree to abide by the Terms and Conditions of Use SIREV Volume 7 Issue 4 The Kantorovich and Some Related Inequalities A. Householder pages 463 - 473 Norman Levinson pages 474 - 502 An Optimal Search Problem Wallace Franck pages 503 - 512 A Class of Difference Equations with Applications Gerald Berman pages 513 - 525 An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion Henry Decell, Jr. pages 526 - 528 Some Recent Results for Almost Periodic Solutions of Differential Equations George Seifert pages 529 - 538 On the Near-Zone Evaluation of Circular-Loop Field Integrals E. Martin, Jr., N. Nahman pages 539 - 543 Maximum Range Of Ballistic Missiles Kasturi Arorat, Nguyen Vinh pages 544 - 550 Some Fifth-Order Classical Runge-Kutta Formulas H. Luther, H. Konen pages 551 - 558 A Ratio of Two Definite Multiple Integrals A. Strecok pages 559 - 559 Solution to an Integral Equation A. Strecok

40. Theorem Proving Via General Mappings 18 zassenhaus, hans On Hensel factorlzatmn, Id Numer Theory I (1969), 291311. CITINGS 14. Jean Gallier , Paliath Narendran , David Plaisted , Stan Raatz http://portal.acm.org/citation.cfm?id=322249

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