Finiteness Properties of S-Arithmetic Groups - a Survey

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dc.creatorBux, Kai-Uwe
dc.date2002-12-29
dc.date.accessioned2026-07-07T04:54:06Z
dc.date.available2026-07-07T04:54:06Z
dc.descriptionWe 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.
dc.description28 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0212366
dc.identifierhttp://arxiv.org/abs/math/0212366
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66114
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20G30 (primary); 20F65 (secondary)
dc.titleFiniteness Properties of S-Arithmetic Groups - a Survey
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