Finiteness Properties of S-Arithmetic Groups - a Survey
Group Theory
2007-05-23 v1 Geometric Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0212366,
title = {Finiteness Properties of S-Arithmetic Groups - a Survey},
author = {Kai-Uwe Bux},
journal= {arXiv preprint arXiv:math/0212366},
year = {2007}
}
Comments
28 pages, 5 figures