Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Stefan Witzel

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English

Springer International Publishing AG
28 July 2014

Groups & group theory; Analytic geometry; Algebraic topology

Series: Lecture Notes in Mathematics

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.

By: Stefan Witzel
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2014 ed.
Volume: 2109
Dimensions: Height: 235mm, Width: 155mm, Spine: 7mm
Weight: 2.117kg
ISBN: 9783319064765
ISBN 10: 3319064762
Series: Lecture Notes in Mathematics
Pages: 113
Publication Date: 28 July 2014
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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