Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups: 1261 - Brossura

Abels, Herbert

 
9783540179757: Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups: 1261

Sinossi

The 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.

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Contenuti

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.

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Altre edizioni note dello stesso titolo

9780387179759: Finite Presentability of S-Arithmetic Groups: Compact Presentability of Solvable Groups

Edizione in evidenza

ISBN 10:  0387179755 ISBN 13:  9780387179759
Brossura