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© 1996

Twin Buildings and Applications to S-Arithmetic Groups

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1641)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Peter Abramenko
    Pages 1-10
  3. Peter Abramenko
    Pages 11-55
  4. Peter Abramenko
    Pages 56-106
  5. Peter Abramenko
    Pages 107-114
  6. Back Matter
    Pages 115-123

About this book

Introduction

This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay. Its first part introduces - presupposing good knowledge of ordinary buildings - the theory of twin buildings, discusses its group-theoretic background (twin BN-pairs), investigates geometric aspects of twin buildings and applies them to determine finiteness properties of certain S-arithmetic groups. This application depends on topological properties of some subcomplexes of spherical buildings. The background of this problem, some examples and the complete solution for all "sufficiently large" classical buildings are covered in detail in the second part of the book.

Keywords

Finite Group theory arithmetic arithmetic groups buildings homotopy knowledge

Bibliographic information

  • Book Title Twin Buildings and Applications to S-Arithmetic Groups
  • Authors Peter Abramenko
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0094079
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-61973-4
  • eBook ISBN 978-3-540-49570-3
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages X, 130
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Group Theory and Generalizations
    K-Theory
    Geometry
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