Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
Download or Read eBook Finiteness Properties of Arithmetic Groups Acting on Twin Buildings PDF written by Stefan Witzel and published by Springer. This book was released on 2014-07-16 with total page 128 pages. Available in PDF, EPUB and Kindle.
Author | : Stefan Witzel |
Publisher | : Springer |
Total Pages | : 128 |
Release | : 2014-07-16 |
ISBN-10 | : 9783319064772 |
ISBN-13 | : 3319064770 |
Rating | : 4/5 (72 Downloads) |
Book Synopsis Finiteness Properties of Arithmetic Groups Acting on Twin Buildings by : Stefan Witzel
Book excerpt: 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.