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) Email ORCID Parker, Christopher UNSPECIFIED UNSPECIFIED
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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