Finiteness Properties of S-Arithmetic Groups - a Survey

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We give an overview about finiteness properties of soluble S-arithmetic groups. Both, the number field case and the function field case are covered. The main result is: If B is a Borel subgroup in a Chevalley group and R is an S-arithmetic ring, then the group B(R) has finiteness length |S|-1 in the function field case, and infinite finiteness length in the number field case.
28 pages, 5 figures

Keywords

Group Theory, Geometric Topology, 20G30 (primary); 20F65 (secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/66114

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212366
 http://arxiv.org/abs/math/0212366

Collections

arXiv