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LEADER: 02474nam a22004335a 4500
001 013856779-4
005 20131206204447.0
008 121227s1987 gw | s ||0| 0|eng d
020 $a9783540471981
020 $a9783540471981
020 $a9783540179757
024 7 $a10.1007/BFb0079708$2doi
035 $a(Springer)9783540471981
040 $aSpringer
050 4 $aQA174-183
072 7 $aPBG$2bicssc
072 7 $aMAT002010$2bisacsh
082 04 $a512.2$223
100 1 $aAbels, Herbert,$eauthor.
245 10 $aFinite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups /$cby Herbert Abels.
264 1 $aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c1987.
300 $aVI, 182 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1261
505 0 $aContents: Introduction -- Compact presentability and contracting automorphisms -- Filtrations of Lie algebras and groups -- A necessary condition for compact presentability -- Implications of the necessary condition -- The second homology -- S-arithmetic groups -- S-arithmetic solvable groups -- Appendix -- References -- List of symbols -- Index.
520 $aThe problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3. For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability. Most of this monograph deals with this question. The necessary background material and the general framework in which the problem arises are given partly in a detailed account, partly in survey form. In the last two chapters the application to S-arithmetic groups is given: here the reader is assumed to have some background in algebraic and arithmetic group. The book will be of interest to readers working on infinite groups, topological groups, and algebraic and arithmetic groups.
650 10 $aMathematics.
650 0 $aMathematics.
650 0 $aGroup theory.
650 0 $aTopological Groups.
650 24 $aGroup Theory and Generalizations.
650 24 $aTopological Groups, Lie Groups.
776 08 $iPrinted edition:$z9783540179757
830 0 $aLecture Notes in Mathematics ;$v1261.
988 $a20131128
906 $0VEN