Fusion systems on \(p\)-groups with an extraspecial subgroup of index \(p\)

Moragues Moncho, Raul (2019). Fusion systems on \(p\)-groups with an extraspecial subgroup of index \(p\). University of Birmingham. Ph.D.

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Abstract

In this thesis we classify saturated fusion systems on \(p\)-groups \(S\) containing an extraspecial subgroup of index \(p\) for an arbitrary odd prime \(p\). We prove that if \(F\) is a saturated fusion system on \(S\) with \(O_p(F)\) = 1 then either \(|S|\leq p^6\) or \(S\) is isomorphic to a unique group of order \(p^{p-1}\)

Type of Work:

Thesis (Doctorates > Ph.D.)

Award Type:

Doctorates > Ph.D.

Supervisor(s):