Finiteness Properties of Arithmetic Groups Acting on Twin Buildings by Stefan WitzelFiniteness Properties of Arithmetic Groups Acting on Twin Buildings by Stefan Witzel

Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

byStefan Witzel

Paperback | July 28, 2014

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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.

Title:Finiteness Properties of Arithmetic Groups Acting on Twin BuildingsFormat:PaperbackDimensions:113 pagesPublished:July 28, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319064762

ISBN - 13:9783319064765

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Table of Contents

Basic Definitions and Properties.- Finiteness Properties of G(Fq[t]).- Finiteness Properties of G(Fq[t; t-1]).- Affine Kac-Moody Groups.- Adding Places.