Finiteness Properties of Arithmetic Groups Acting on Twin Buildings (Lecture Notes in Mathematics) （2014）

Witzel, Stefan

Springer International Publishing AG（2014/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 113 p.
• 言語 ENG
• 商品コード 9783319064765
• DDC分類 512.2

Full Description

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.

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.