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.
ISBN: | 9783319064765 |
Publication date: | 28th July 2014 |
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 |