Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
Author:   Stefan Witzel
Publisher:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   2109
ISBN:  

9783319064765


Pages:   113
Publication Date:   28 July 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Finiteness Properties of Arithmetic Groups Acting on Twin Buildings


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Overview

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.

Full Product Details

Author:   Stefan Witzel
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   2109
Dimensions:   Width: 15.50cm , Height: 0.70cm , Length: 23.50cm
Weight:   2.117kg
ISBN:  

9783319064765


ISBN 10:   3319064762
Pages:   113
Publication Date:   28 July 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

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