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ZJ-type theorems for fusion systems

Semeraro, Jason Philip Gino (2010)
M.Phil. thesis, University of Birmingham.

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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:M.Phil. thesis.
Supervisor(s):Parker, Chris
School/Faculty:Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:School of Mathematics
Subjects:QA Mathematics
Institution:University of Birmingham
ID Code:751
This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder.
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