41. Describing Varieties Of Abelian Topological Groups Describing Varieties of Abelian topological groups. The aim is to describe containment relations for varieties of abelian topological groups. http://www.ballarat.edu.au/ard/itms/research/researchProjects/nonFunded/MASARG/p

University Home Page School of ITMS ITMS - CIAO Describing Varieties of Abelian Topological Groups The aim is to describe containment relations for varieties of abelian topological groups. Group/Cluster: Mathematical and Statistical Analysis Research Group (MASARG) Project Leader: Professor Sid Morris CIAO members involved in project: Professor Sid Morris Australian Research Associate: Dr Carolyn McPhail Commencement date: Proposed completion date: Research projects index Content on this section coordinated by Graeme Cowling , University of Ballarat. Privacy Statement Web Feedback Form Corporate Sitemap http://www.ballarat.edu.au/ard/itms/research/researchProjects/nonFunded/MASARG/project_2.shtml

42. HogBlog: Fundamental Groups Of Topological Groups Are Abelian It s a fact the fundamental group of any topological group is abelian. Let X be a topological group, with identity element e. http://www.koschei.net/blog/archives/000434.html

HogBlog Omnes nuntii apti ad trahendum ex culo meoÆquus et exæquatus. Main November 15, 2003 Fundamental Groups of Topological Groups are Abelian It's a fact: the fundamental group of any topological group is abelian. Let X be a topological group, with identity element e. Let f and g be paths at e(continuous maps from the unit interval I into X, whose value at both and 1 is e). Denote the ordinary multiplication of paths with a stop: f.g is just the path obtained by following f, and then following g, and reparametrising appropriately to obtain another path. Now, there is another natural multiplication on paths, induced by the group structure of X: denote this by *, where (f*g)(t)=f(t)g(t), where juxtaposition represents the group multiplication. Since multiplication is a continuous operation, this is indeed a path at e. Now, I put it to you that this operation is well-defined not only on paths, but on homotopy classes of paths: suppose f is homotopic to f via a path homotopy F, and g is homotopic to g via a path homotopy G. Then let H(s,t)=F(s,t)G(s,t); this is again a path homotopy, between f*g and f

43. On Subgroups Of Minimal Topological Groups Title On subgroups of minimal topological groups Authors Uspenskij, VV Journal eprint arXivmath/0004119 Publication Date 04/2000 Origin ARXIV http://adsabs.harvard.edu/abs/2000math......4119U

Smithsonian/NASA ADS arXiv e-prints Abstract Service Find Similar Abstracts (with default settings below arXiv e-print (arXiv:math/0004119) Also-Read Articles Translate Abstract Title: On subgroups of minimal topological groups Authors: Uspenskij, V. V. Journal: eprint arXiv:math/0004119 Publication Date: Origin: ARXIV Keywords: General Topology, Dynamical Systems, Group Theory, 22A05, 06F05, 22A15, 54D35, 54E15, 57S05 Comment: 29 pages, AMS-TeX Bibliographic Code: Abstract Bibtex entry for this abstract Preferred format for this abstract (see Preferences) Find Similar Abstracts: Use: Authors Title Keywords (in text query field) Abstract Text Return: Query Results Return items starting with number Query Form Database: Astronomy/Planetary Instrumentation Physics/Geophysics arXiv e-prints Smithsonian/NASA ADS Homepage ADS Sitemap Query Form Preferences ... FAQ

44. D-Drive Document Server - Subject: 22-xx Topological Groups, Lie Groups Subject 22xx topological groups, Lie groups. MSC Classification Scheme (192). 22-xx topological groups, Lie groups http://locutus.cs.dal.ca:8088/view/subjects/22-XX.html

Home About Browse Search ... Help Subject: 22-xx Topological groups, Lie groups MSC Classification Scheme 22-xx Topological groups, Lie groups Number of records: This list was generated on Fri Sep 16 01:33:45 ADT 2005 Site Administrator: hwiersma@cs.dal.ca

45. LECs, Local Mixers, Topological Groups And Special Products We prove that every (locally) contractible topological group is (L)EC and Our main results are The free topological group of a qcontractible space is http://anziamj.austms.org.au/JAMSA/V44/Part2/Borges.html

J Austral Math Soc Ser A LECs, Local Mixers, Topological Groups and Special Products Carlos E. Borges (Received 18 December 1986) Abstract We prove that every (locally) contractible topological group is (L)EC and apply these results to homeomorphism groups, free topological groups, reduced products and symmetric products. Our main results are: The free topological group of a q -contractible space is equiconnected. A paracompact and weakly locally contractible space is locally equiconnected if and only if it has a local mixer. There exist compact metric contractible spaces X whose reduced (symmetric) products are not retracts of the Graev free topological groups F X A X )) (thus correcting results we published ibidem). AMS Subject Classification : primary 54C55; secondary 22A05, 57S05 Browse the article Read the article in your browser. (Scale your print to fit your paper). Authors Carlos R. Borges Department of Mathematics, University of California, Davis, California 95616, U.S.A. Editor JAMSB(E): editor at anziamj.austms.org.au WWW Administrator: webmaster at anziamj.austms.org.au

46. ALGEBRA AND TOPOLOGY DEPARTMENT Development of the theory of topological groups with generalized conditions of N. topological groups. Itogi Nauki Tekh. Ser. Algebra, Topologia, Geom. http://www.imm.uran.ru/DEPARTMT/OAT.HTM

ALGEBRA AND TOPOLOGY DEPARTMENT The Department of Algebra was organized in 1961 and was headed by Professor S.N.Chernikov (who become later the corresponding member of the Academy of Sciences of the Ukrainian SSR). After his move to Kiev in 1965, the Department was headed by Doctor A.I.Starostin (Professor in 1969). In 1986 the Department of Algebra was reorganized as the Department of Algebra and Topology including the Section of Topology under guidance of Professor N.V.Velicko. Since 1995 the department of Algebra and Topology is headed by Professor A.A.Makhnev. The main research direction of the Department in algebra is an investigation of discrete and topological groups with some restrictions on given classes of subgroups. At the last time in the sector of Algebra, finite groups and its representations, applications of the group theory in combinatorics and in graph theory are studied mainly. The main topics studied in the section of Topology are following: the continuous functions, spaces of continions functions, Baire functions and Baire isomorphisms. The most essential results: Description of a number of classes of infinite discrete and topological groups with given properties of systems of infinite subgroups (S.N.Cernikov, V.S.Charin, A.I.Starostin, l.l.Eremin, Yn.M.Gorchakov, A.N.Fomin).

47. IngentaConnect Decay Measures On Locally Compact Abelian Topological Groups Decay measures on locally compact abelian topological groups. Authors Antoniou I.; Shkarin SA. Source Proceedings Section A Mathematics Royal Society http://www.ingentaconnect.com/content/rse/proca/2001/00000131/00000006/art00002

Home About Ingenta Ingenta Labs Help For Publishers Why go online? Why choose IngentaConnect? Why choose CustomConnect? Access and authentication ... Contact us For Researchers About IngentaConnect Search and browse Publications available Accessing articles ... Register For Librarians Why choose IngentaConnect? Why choose IngentaConnect Premium? Activating Subscriptions Purchasing articles ... Browse Publications Decay measures on locally compact abelian topological groups Authors: Antoniou I.; Shkarin S.A. Source: Proceedings Section A: Mathematics - Royal Society of Edinburgh , Volume 131, Number 6, 14 December 2001, pp. 1257-1273(17) Publisher: Royal Society of Edinburgh View Table of Contents full text options Abstract: We show that the Banach space M of regular -additive finite Borel complex-valued measures on a non-discrete locally compact Hausdorff topological Abelian group is the direct sum of two linear closed subspaces M D and M ND , where M D is the set of measures M whose Fourier transform vanishes at infinity and M ND is the set of measures M such that M D for any D ND D M D and ND M ND ) there exist a Borel set A A ) such that D is the restriction of to A , therefore the measures D and ND are singular with respect to each other. The measures

48. Topological Groups topological groups. BT group theory(maths) FT groupe topologique. Previous Item Next Item Search Help http://irc.nrc-cnrc.gc.ca/thesaurus/topological_groups.html

topological groups BT group theory(maths) FT groupe topologique [Previous Item] [Next Item] [Search] [Help]

49. BGU Set Theory And Topology Seminars Topic Reflexive representations of topological groups and Gspaces Abstract The last lecture on effective actions of topological groups. http://www.math.bgu.ac.il/~arkady/topologyseminar/topologyseminararchive.htm

BGU Set Theory and Topology Seminar Archive Next seminar Wednesday, April 24 , 14:00, room -101, the math building. Speaker : Victoria Lubitch Topic : Linearly Lindelof non Lindelof spaces II Wednesday, April 10 , 14:00, room -101, the math building. Speaker : Victoria Lubitch Topic : Linearly Lindelof non Lindelof spaces Abstract Wednesday, March 20 , 14:00, room -101(?), the math building. Speaker : Michael Levin Topic : Free actions of compact 0-dimensional groups Abstract : We will discuss basic results, methods and conjectures. Wednesday, February 27 , 12:00, room -101, the math building. Speaker : Istvan Juhasz (Budapest) Topic : of his choice Friday, February 15 , 10:00, room -101, the math building. Speaker : Istvan Juhasz (Budapest) Topic : Calibers, free sequences and density Abstract : Results from a joint work with Z. Szentmiklossy. Below you can download the DVI, PS and PDF file. NOTE: The last seminar in this semester Wednesday, January 9 , 14:30, room 201, the math building. Speaker : Edmund Ben-Ami Topic : Another proof of the Open Mapping Principle (III) Wednesday

50. Wallace's Problem Whilst a topological group such as the circle group of complex numbers of length FTChristoph Jr.,Embedding topological semigroups in topological groups, http://www.ms.unimelb.edu.au/~robbie/papers/Wallace.html

Are Countably Compact Cancellative Topological Semigroups Always Topological Groups ? D.A.Robbie and S.Svetlichny Background A topological semigroup is a jointly continuous binary operation defined on a Hausdorff topological space and such that the operation is associative. A simple example is the unit interval under ordinary multiplication. Whilst a topological group such as the circle group of complex numbers of length one is a topological semigroup, the interest is in semigroups not assumed to be groups. Indeed an early and continuing theoretical question has been what topological conditions in conjunction with additional algebraic conditions imply that a topological semigroup is in fact actually a topological group. One such result due to A.D.Wallace [3], is that if the set of all products of the elements of a compact semigroup gives back the whole semigroup, and if there is only one element e such that e2=e then we have a topological group. There has been continuing interest in the following long standing problem of Alexander Doniphan Wallace [3]: Is a countably compact cancellative topological semigroup, necessarily a topological gical group ?

51. 22 Topological Groups, Lie Algebras Baars J. Equivalence of certain free topological groups. 331 (1992), pp. 125 130. Guran II Topologija beskone\v{c}noj simmetri\v{c}eskoj gruppy i http://www.karlin.mff.cuni.cz/cmuc/cmucemis/cmucinde/cams-22.htm

Baars J. Equivalence of certain free topological groups . 33:1 (1992), pp. 125 130. Guran I.I. . 22:2 (1981), pp. 311 316. Hart K.P., Junnila H., Mill J.van A Dowker group . 26:4 (1985), pp. 799 810. Korovin A.V. Continuous actions of pseudocompact groups and axioms of topological group . 33:2 (1992), pp. 335 343. Shakhmatov D.B. On zero-dimensionality of subgroups of locally compact groups . 32:3 (1991), pp. 581 582. . 2:4 (1961), pp. 3 5. On tensor products of Abelian groups . 6:1 (1965), pp. 73 83. Uspenskij V.V. On the group of isometries of the Urysohn universal metric space . 31:1 (1990), pp. 181 182.

52. EPrint Series Of Department Of Mathematics, Hokkaido University - Subject: 22-xx Subject 22xx topological groups, LIE GROUPS. MSC2000 (803). 22-xx topological groups, LIE GROUPS. This list was generated on Sun Aug 7 061020 JST 2005. http://eprints.math.sci.hokudai.ac.jp/view/subjects/22-xx.html

EPrint Series of Department of Mathematics, Hokkaido University Home About Browse Search ... Help Subject: 22-xx TOPOLOGICAL GROUPS, LIE GROUPS 22-xx TOPOLOGICAL GROUPS, LIE GROUPS This list was generated on Fri Sep 16 06:10:23 JST 2005 Site Administrator: nami@math.sci.hokudai.ac.jp

53. Monash University EPrint Repository - Faculties: 230105 Group Theory And General 230000 Mathematical Sciences 230100 Mathematics. 230105 Group Theory And Generalisations (Incl. topological groups And Lie Groups) http://eprint.monash.edu.au/view/faculties/230105.html

Monash University ePrint Repository Home About Browse Search ... Help Faculties: 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups) Subjects classification Australian Standard Research Classification 230000 Mathematical Sciences 230100 Mathematics 230105 Group Theory And Generalisations (Incl. Topological Groups And Lie Groups) This list was generated on Fri Sep 16 20:07:42 EST 2005 Established by Monash University Library as part of a Group of Eight initiative in Australia using free software from eprints.org and generating archives compliant with the Open Archives Protocol for Metadata Harvesting OAI1.1 and 2.0. Monash University Caution Privacy

54. MM_Publications On central topological groups Research Announcement, Bull. AMS, 72 (1966), 826830. Representation theory of central topological groups Trans. http://math.gc.cuny.edu/faculty/moskowitz/MM_Publications.htm

PUBLICATIONS 1. On central topological groups Research Announcement, Bull. A.M.S., (1966), 826-830. (With S. Grosser). 2. Representation theory of central topological groups Research Announcement, Bull. A.M.S., (1966), 831-837. (with S. Grosser). 3. Homological algebra in locally compact abelian groups Trans. A.M.S., 4. On central topological groups Trans. A.M.S., (1967), 317-340. (with S. Grosser). 5. Representation theory of central topological groups Trans. A.M.S., (1967), 361-390. (with S. Grosser). 6. Uber Automorphismengruppen localkompakter Gruppen und Derivationen von Lie Gruppen Math. Zeitschrift, (1970), 321-339. (with S. Grosser and O. Loos). 7. Cyclic vectors for representations of locally compact groups Math. Ann., (1971), 265-288. (with F. Greenleaf). 8. Compactness conditions I and II J.f. Reine, u. Ang. Math., (1971), 1-40. (with S. Grosser). 9. Harmonic analysis on central topological groups Trans. A.M.S., (1971), 419-454. (with S. Grosser). 10. Central idempotents in measure algebras Math. Zeitschrift, (1971), 217-222. (with R.D. Mosak).

55. GROUPS AND TOPOLOGICAL GROUPS GROUPS AND topological groups June 28 29, 2002 Technische Universität Dresden Maximal abelian group actions on (R, ) and their digital representation http://www.informatik.uni-leipzig.de/theo/pers/droste/conferences/gtg.html

GROUPS AND TOPOLOGICAL GROUPS June 28 - 29, 2002 Program: Friday, June 28 R. Goebel (Essen): Epiuniversal classes of groups and the solution of a problem on locally nilpotent groups by Boris Plotkin J. Trlifaj (Prague): Approximations of modules and the finitistic dimension conjectures Coffee P. Plaumann (Erlangen): The lattice of connected subgroups of a connected algebraic group A. Di Bartolo (Palermo): Unipotent algebraic groups with a unique subgroup in every dimension Lunch P. Dehornoy (Caen): Word reversing V. Diekert (Stuttgart): On the existential and positive theories in graph products Coffee M. Picantin (Caen): Garside monoids D. Kirsten (Dresden): A semigroup-theoretic approach to the finite power problem in free monoids Saturday, June 29 G. Stroth (Halle): Some steps in revising the classification of the finite simple groups M. Bianchi (Milano): On the length of conjugacy classes in finite groups Coffee W. Herfort (Wien): The profinite completion of certain torsion p-groups F. Leinen (Mainz): Group algebras of simple locally finite groups: ideals and positive-definite functions Lunch R. Winkler (Wien):

56. Conference On Groups And Topological Groups L. Fuchs (New Orleans), Valuated Butler groups of finite rank. R. Göbel (Essen), How rigid are reduced products? W. Hojka (Wien), Das Fundamentalgruppoid http://www.informatik.uni-leipzig.de/~ulbrich/gtg/

July 2-3, 2004 at the University of Leipzig, Germany We are very happy to announce the following lectures: L. Fuchs (New Orleans) Valuated Butler groups of finite rank How rigid are reduced products? W. Hojka (Wien) Das Fundamentalgruppoid einer proendlich Regulatorketten in Butlergruppen D. Kuske (Dresden) Singular braid monoids are automatic K. Strambach (Erlangen) Imprimitive Gruppen, mehrfach scharf J. Trlifaj (Prag) Matlis localizations R. Winkler (Wien) On a certain class of functions on LCA-groups having a unique mean The lectures will take place in Ritterstr. 16, Leipzig This is in the center of Leipzig, within easy walking distance (5 min.) from the central railway station. It would be very helpful for the organization if you could let the local organizer know if you intend to participate. program The conference program is also available as a pdf document. accomodations We have made preliminary reservation of a limited number of rooms for the participants of GTG until June 20 at the university guesthouses Ritterstrasse 12 price: 40 euro price: 50 euro See http://www.uni-leipzig.de/%7Eabz/index.html

57. Lie Groups (Bump)-Springer Topological Groups, Lie Groups Book This book is intended for a one year graduate course on Lie groups and Lie algebras. The author proceeds beyond the representation theory of compact Lie http://www.springeronline.com/sgw/cda/frontpage/0,11855,4-10043-22-28205725-0,00

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58. Transformation Groups-Birkhäuser Boston Topological Groups, Lie Groups Journa Transformation Groups will only accept research articles containing new results, complete proofs and an abstract. Topics include Lie groups and Lie http://www.springeronline.com/sgw/cda/frontpage/0,10735,5-0-70-1179405-detailsPa

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59. TVP Volume 4 Issue 3 Probability Distributions on Bicompact topological groups. B. Kloss. Abstract. In this paper random variables defined on a bicompact topological group $G$ http://locus.siam.org/TVP/volume-04/art_1104026.html

SIAM's Online Journal Archive SEEK EXPLORE LOCATE TVP volume 4 issue 3 advanced search Home Order ... Theory of Probability and Its Applications By using LOCUS you agree to abide by the Terms and Conditions of Use TVP, Volume 4 Issue 3 Probability Distributions on Bicompact Topological Groups B. Kloss Abstract. Theorem 12 Let be a sequence of independent random variables. We construct the compositions Then, non-random constants can be found so that the sequence o f normalized compositions has a limiting distribution . The results obtained are extended to the case of bicompact topological semigroups. Some material contained in this paper was published in [7] without detailed proofs. View Full Text (pdf) View References

60. School Of Mathematical & Physical Sciences - University Of Newcastle topological groups (George Willis, Jacqui Ramagge). The solution of Hilbert s 5th Problem implies that a general connected group is close to being a Lie http://www.newcastle.edu.au/school/math-physical-sci/research/topgrp.html

The University of Newcastle - Australia Home Search Quick Find ... Online Resources Topological Groups Researchers Dr Jacqui Ramagge Dr George Willis Topological Groups Authorised by: Director, Marketing and Media Services Produced by: Design at Newcastle Last Updated: 14 December 2001 Comments / About this Web Site

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