Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

• Main Author: Witzel, Stefan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2109
• Subjects: Mathematics.; Group theory.; Geometry.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Group Theory and Generalizations.; Manifolds and Cell Complexes (incl. Diff.Topology).; Algebraic Topology.

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 invol...

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.