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arXiv:math/0212366 [math.GR]AbstractReferencesReviewsResources

Finiteness Properties of S-Arithmetic Groups - a Survey

Kai-Uwe Bux

Published 2002-12-29Version 1

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.

Comments: 28 pages, 5 figures
Categories: math.GR, math.GT
Subjects: 20G30, 20F65
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