Realising fusion systems

Leary, Ian; Stancu, Radu

doi:10.2140/ant.2007.1.17

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Realising fusion systems

Ian J. Leary and Radu Stancu

Vol. 1 (2007), No. 1, 17–34

DOI: 10.2140/ant.2007.1.17

Abstract

We show that every fusion system on a $p$ -group $S$ is equal to the fusion system associated to a discrete group $G$ with the property that every $p$ -subgroup of $G$ is conjugate to a subgroup of $S$ .

Keywords

conjugacy, fusion systems, graphs of groups

Milestones

Received: 30 January 2007

Revised: 20 March 2007

Accepted: 25 April 2007

Published: 1 February 2007

Authors

Ian J. Leary
Department of Mathematics The Ohio State University 231 W 18th Avenue Columbus, OH 43210 United States

Radu Stancu
Department of Mathematics The Ohio State University 231 W 18th Avenue Columbus, OH 43210 United States

Vol. 1, No. 1, 2007

Ian J. Leary and Radu Stancu

Abstract

Keywords

Milestones

Authors