# Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups

Part of the Lecture Notes in Mathematics book series (LNM, volume 1261)

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Part of the Lecture Notes in Mathematics book series (LNM, volume 1261)

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.

algebra algebraic group automorphism finite group homology lie algebra linear algebra topological group

- DOI https://doi.org/10.1007/BFb0079708
- Copyright Information Springer-Verlag Berlin Heidelberg 1987
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Springer Book Archive
- Print ISBN 978-3-540-17975-7
- Online ISBN 978-3-540-47198-1
- Series Print ISSN 0075-8434
- Series Online ISSN 1617-9692
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