Authors:
- 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)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
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.
Authors and Affiliations
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Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Münster, Germany
Stefan Witzel
Bibliographic Information
Book Title: Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
Authors: Stefan Witzel
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-06477-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-06476-5Published: 28 July 2014
eBook ISBN: 978-3-319-06477-2Published: 16 July 2014
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVI, 113
Number of Illustrations: 11 b/w illustrations
Topics: Group Theory and Generalizations, Geometry, Manifolds and Cell Complexes (incl. Diff.Topology), Algebraic Topology