Topics in Finite Groups: Homology Groups, Pi-product Graphs, Wreath Products and Cuspidal Characters

Ward, David (2015) Topics in Finite Groups: Homology Groups, Pi-product Graphs, Wreath Products and Cuspidal Characters. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

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Abstract

In this thesis we investigate four separate topics in finite group theory: 1) Homology groups of presheaves of abelian groups; 2) Pi-product graphs for the symmetric groups; 3) Wreath products of cyclic groups of order p; and 4) p-Cuspidal characters. In each case we use combinatorial and computational arguments to ascertain properties of the groups/graphs/characters in question.

Item Type: Thesis (Doctoral)
Uncontrolled Keywords: Pi-product graphs, presheaf, homology, wreath product, symmetric group, cuspidal character
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory
MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations
Depositing User: Mr David Ward
Date Deposited: 29 Jul 2015
Last Modified: 20 Oct 2017 14:13
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2349

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