Fusion systems on small p-groups

Details Fusion systems on small p-groups Fusion systems on small p-groups

2010-07-09

arxiv.org/abs/1007.1639v1

Mathematics

Group Theory

22 pages, Submitted to Trans. Amer. Math. Soc

Scientific paper

In this article we study several classes of `small' 2-groups: we complete the classification, started in [Stancu, 2006], 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.

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