Minimal fusion systems with a unique maximal parabolic
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We define minimal fusion systems in a way that every non-solvable fusion system has a section which is minimal. Minimal fusion systems can also be seen as analogs of Thompson's N-groups. In this paper, we consider a minimal fusion system F on a finite p-group S that has a unique maximal p-local subsystem containing N_F(S). For an arbitrary prime p, we determine the structure of a certain (explicitly described) p-local subsystem of F. If p=2, this leads to a complete classification of the fusion system F.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Journal of Algebra |
Vol/bind | 333 |
Udgave nummer | 1 |
Sider (fra-til) | 318-367 |
ISSN | 0021-8693 |
DOI | |
Status | Udgivet - 1 maj 2011 |
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