Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.549644
Title: Local fusion graphs of finite groups
Author: Ballantyne, John Joseph
Awarding Body: University of Manchester
Current Institution: University of Manchester
Date of Award: 2012
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Abstract:
Let G be a group, with X a G-conjugacy class of involutions. The local fusion graph F(G,X) has X as its vertex set, with vertices x, y in X joined by an edge if, and only if, x is not equal to y and the order of the product xy is odd. In this thesis we study these, and other related graphs, for a variety of finite groups, paying particular attention to the cases where G is a finite group. We also present a computational algorithm regarding centralisers of involutions, which makes use of local fusion graphs.
Supervisor: Rowley, Peter Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.549644  DOI: Not available
Keywords: group ; graph ; involution
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