Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

  • Stefan Witzel

Part of the Lecture Notes in Mathematics book series (LNM, volume 2109)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Stefan Witzel
    Pages 1-44
  3. Back Matter
    Pages 99-116

About this book


Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S has only two places, one can instead make use of the theory of twin buildings.


20G30,22E40,20E42,51E24,57M07,20F65 Arithmetic groups CAT(0) geometry Combinatorial Morse theory Finiteness properties of groups Twin-buildings

Authors and affiliations

  • Stefan Witzel
    • 1
  1. 1.Mathematisches InstitutWestfälische Wilhelms-Universität MünsterMünsterGermany

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-06476-5
  • Online ISBN 978-3-319-06477-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site