We define a 'tree of fusion systems' and give a sufficient condition for its completion to be saturated. We apply this result to enlarge an arbitrary fusion system by extending the automorphism groups of certain of its subgroups. (C) 2013 Elsevier Inc. All rights reserved.
Bibliographical noteVersion 1: Wed 28 Nov 2012 18:44:48 GMT
Version 2: Fri 7 Jun 2013 1238:45 GMT
Version 3: Tue 29 Oct 2013 11:11:30 GMT
- Fusion systems
- Finite group theory