Lecture Notes in Mathematics

Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Authors: Witzel, Stefan

  • Only reference for the secondary height function for reducible buildings
  • Self-contained introduction to the study of finiteness properties of arithmetic groups
  • Many illustrations
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  • ISBN 978-3-319-06477-2
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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.

Table of contents (3 chapters)

  • Basic Definitions and Properties

    Witzel, Stefan

    Pages 1-44

  • Finiteness Properties of $$\mathbf{G}(\mathbb{F}_{q}[t])$$

    Witzel, Stefan

    Pages 45-79

  • Finiteness Properties of $$\mathbf{G}(\mathbb{F}_{q}[t,t^{-1}])$$

    Witzel, Stefan

    Pages 81-97

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-06477-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-319-06476-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2109
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-06477-2
DOI
10.1007/978-3-319-06477-2
Softcover ISBN
978-3-319-06476-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 113
Number of Illustrations and Tables
11 b/w illustrations
Topics