© 1987

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

  • Authors

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

Table of contents

  1. Front Matter
    Pages I-VI
  2. Herbert Abels
    Pages 1-14
  3. Herbert Abels
    Pages 27-48
  4. Herbert Abels
    Pages 61-89
  5. Herbert Abels
    Pages 90-122
  6. Herbert Abels
    Pages 123-145
  7. Herbert Abels
    Pages 146-168
  8. Back Matter
    Pages 169-178

About this book


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

Bibliographic information

  • Book Title Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups
  • Authors Herbert Abels
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-17975-7
  • eBook ISBN 978-3-540-47198-1
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VI, 182
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Group Theory and Generalizations
    Topological Groups, Lie Groups
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