Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

2014
ISBN: 978-3-319-06476-5
Verlag: Springer International Publishing

Buch, Englisch, Band 2109, 113 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 2117 g

Reihe: 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.

Zielgruppe

Research

Autoren/Hrsg.

Witzel, Stefan

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

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