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Twin Buildings and Applications to S-Arithmetic Groups

  • Authors
  • Peter Abramenko

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

  • DOI https://doi.org/10.1007/BFb0094079
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61973-4
  • Online ISBN 978-3-540-49570-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site