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Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

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Finiteness Properties of Arithmetic Groups Acting on Twin Buildings Synopsis

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.

About This Edition

ISBN: 9783319064765
Publication date:
Author: Stefan Witzel
Publisher: Springer an imprint of Springer International Publishing
Format: Paperback
Pagination: 113 pages
Series: Lecture Notes in Mathematics
Genres: Groups and group theory
Algebraic topology
Geometry
Topology