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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. Parker, Chris Colleges (2008 onwards) > College of Engineering & Physical Sciences School of Mathematics QA Mathematics University of Birmingham 751
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