Skip to main content
  • Book
  • © 2014

Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Authors:

(view affiliations)
  • Only reference for the secondary height function for reducible buildings

  • Self-contained introduction to the study of finiteness properties of arithmetic groups

  • Many illustrations

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

Buying options

eBook
USD 39.99
Price excludes VAT (USA)
  • ISBN: 978-3-319-06477-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 49.99
Price excludes VAT (USA)

This is a preview of subscription content, access via your institution.

Table of contents (3 chapters)

  1. Front Matter

    Pages i-xvi
  2. Basic Definitions and Properties

    • 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.

Keywords

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

Authors and Affiliations

  • Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Münster, Germany

    Stefan Witzel

Bibliographic Information

Buying options

eBook
USD 39.99
Price excludes VAT (USA)
  • ISBN: 978-3-319-06477-2
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 49.99
Price excludes VAT (USA)