Ballantyne, John J and Greer, Nicholas M and Rowley, Peter J
(2012)
*Local Fusion Graphs for Symmetric Groups.*
Journal of Group Theory.
(In Press)

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## Abstract

For a group $G$, $\pi$ a set of odd positive integers and $X$ a set of involutions of $G$ we define a graph $\mathcal{F}_\pi(G,X)$. This graph, called a $\pi$-local fusion graph, has vertex set $X$ with $x,y \in X$ joined by an edge provided $x \neq y$ and the order of $xy$ is in $\pi$. In this paper we investigate $\mathcal{F}_\pi(G,X)$ when $G$ is a finite symmetric group for various choices of $X$ and $\pi$.

Item Type: | Article |
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Uncontrolled Keywords: | symmetric group, involution, graph |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |

Depositing User: | Dr John Ballantyne |

Date Deposited: | 09 Nov 2012 |

Last Modified: | 20 Oct 2017 14:13 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/1910 |

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