Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups (Lecture Notes in Mathematics, 1261)

Abels, Herbert

ISBN 10: 3540179755 ISBN 13: 9783540179757

Editorial: Springer, 1987

Idioma: Ingl�s

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T�tulo

Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups (Lecture Notes in Mathematics, 1261)

Editor

Springer

Fecha de publicaci�n

1987

Idioma

Ingl�s

ISBN 10

3540179755

ISBN 13

9783540179757

Encuadernaci�n

Encuadernaci�n de tapa blanda

Estado

New

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Sinopsis

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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