Abstract
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.
Original language | English |
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Pages (from-to) | 1051-1072 |
Number of pages | 22 |
Journal | Journal of Algebra |
Volume | 399 |
DOIs | |
Publication status | Published - 1 Feb 2014 |
Bibliographical note
Version 1: Wed 28 Nov 2012 18:44:48 GMTVersion 2: Fri 7 Jun 2013 1238:45 GMT
Version 3: Tue 29 Oct 2013 11:11:30 GMT
Keywords
- Fusion systems
- Finite group theory