Rowley, Peter and Ward, David
(2014)
*On Pi-Product Involution Graphs in Symmetric Groups.*
[MIMS Preprint]

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## Abstract

Suppose that G is a group, X a subset of G and pi a set of natural numbers. The pi-product graph pi(G,X) has X as its vertex set and distinct vertices are joined by an edge if the order of their product is in pi. If X is a set of involutions, then pi(G,X) is called a pi-product involution graph. In this paper we study the connectivity and diameters of pi(G,X) when G is a finite symmetric group and X is a G-conjugacy class of involutions.

Item Type: | MIMS Preprint |
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Additional Information: | Submitted to the Journal of Algebra |

Uncontrolled Keywords: | Symmetric Group, Graph, Diameter, Connectedness |

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

Depositing User: | Mr David Ward |

Date Deposited: | 20 Jun 2014 |

Last Modified: | 08 Nov 2017 18:18 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/2148 |

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