On finite subgroups of groups of type VF

Leary, Ian J

doi:10.2140/gt.2005.9.1953

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On finite subgroups of groups of type VF

Ian J Leary

Geometry & Topology 9 (2005) 1953–1976

DOI: 10.2140/gt.2005.9.1953

arXiv: math.GR/0510682

Abstract

For any finite group $Q$ not of prime power order, we construct a group $G$ that is virtually of type $F$ , contains infinitely many conjugacy classes of subgroups isomorphic to $Q$ , and contains only finitely many conjugacy classes of other finite subgroups.

Keywords

conjugacy classes, finite subgroups, groups of type $F$

Mathematical Subject Classification 2000

Primary: 20F65

Secondary: 19A31, 20E45, 20J05, 57M07

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Publication

Received: 11 June 2005

Accepted: 10 October 2005

Published: 17 October 2005

Proposed: Martin Bridson

Seconded: Wolfgang Lück, Haynes Miller

Authors

Ian J Leary
Department of Mathematics The Ohio State University 231 West 18th Avenue Columbus Ohio 43210-1174 USA	School of Mathematics University of Southampton Southampton SO17 1BJ United Kingdom

Volume 9, issue 4 (2005)