Geometry & Topology, Vol. 9 (2005) Paper no. 44, pages 1953--1976.

On finite subgroups of groups of type VF

Ian J Leary

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

AMS subject classification. Primary: 20F65. Secondary: 19A31, 20E45, 20J05, 57M07.

E-print: arXiv:math.GR/0510682

DOI: 10.2140/gt.2005.9.1953

Submitted to GT on 11 June 2005. Paper accepted 10 October 2005. Paper published 17 October 2005.

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

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