Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
Author :
Publisher : Springer
Total Pages : 128
Release :
ISBN-10 : 9783319064772
ISBN-13 : 3319064770
Rating : 4/5 (770 Downloads)

Book Synopsis Finiteness Properties of Arithmetic Groups Acting on Twin Buildings by : Stefan Witzel

Download or read book Finiteness Properties of Arithmetic Groups Acting on Twin Buildings 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. 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.

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