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

Primary: 20F65

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

References

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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