Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

by Stefan Witzel
Epub (Kobo), Epub (Adobe)
Publication Date: 30/03/2016

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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:
9783319064772
9783319064772
Category:
Algebra
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
30-03-2016
Language:
English
Publisher:
Springer International Publishing

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