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2012.8: Local Fusion Graphs of Finite Groups

2012.8: John J Ballantyne (2011) Local Fusion Graphs of Finite Groups. PhD thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

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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 and y are not equal 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 when G is a finite simple group. We also present a computational algorithm regarding centralisers of involutions, which makes use of local fusion graphs.

Item Type:Thesis (PhD)
Uncontrolled Keywords:finite group, involution, graph, centraliser
Subjects:MSC 2000 > 20 Group theory and generalizations
MIMS number:2012.8
Deposited By:Mr John Ballantyne
Deposited On:08 January 2012

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