Volume 9, issue 4 (2005)

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On finite subgroups of groups of type VF

Ian J Leary

Geometry & Topology 9 (2005) 1953–1976
 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