Fusion systems on small p-groups

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  • California State University Fullerton


In this article we study several classes of 'small' 2-groups: we complete the classification, started by Stancu, of all saturated fusion systems on metacyclic p-groups for all primes p. We consider Suzuki 2-groups, and classify all center-free saturated fusion systems on 2-groups of 2-rank 2. We end by classifying all possible F-centric, F-radical subgroups in saturated fusion systems on 2-groups of 2-rank 2.


Original languageEnglish
Pages (from-to)5945-5967
Number of pages23
JournalTransactions of the American Mathematical Society
Issue number11
Publication statusPublished - 26 Jul 2012

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