ZJ-type theorems for fusion systems

Semeraro, Jason Philip Gino (2010). ZJ-type theorems for fusion systems. University of Birmingham. M.Phil.

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Abstract

In this thesis we prove two major \(ZJ\)-type group-theoretic results before generalising them to the category of fusion systems. We also study alternative proofs of the fact that when a fusion system \(F\) on a finite \(p\)-group \(P\) is sparse and \(p\) is odd or \(F\) is \(S\)\(_4\)-free, \(F\) is constrained.

Type of Work: Thesis (Masters by Research > M.Phil.)
Award Type: Masters by Research > M.Phil.
Supervisor(s):
Supervisor(s)EmailORCID
Parker, ChristopherUNSPECIFIEDUNSPECIFIED
Licence:
College/Faculty: Colleges (2008 onwards) > College of Engineering & Physical Sciences
School or Department: School of Mathematics
Funders: None/not applicable
Subjects: Q Science > QA Mathematics
URI: http://etheses.bham.ac.uk/id/eprint/751

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