ZJ-type theorems for fusion systems

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.

Name dc:type.qualificationname

m_ph

Level dc:type.qualificationlevel

m_ph

Grantor dc:publisher.institution

University of Birmingham

Year dc:date.issued

2010

Author dc:creator

• Semeraro, Jason Philip Gino

• QA Mathematics