Everett, Alistaire
(2011)
*Commuting Involution Graphs for 3-Dimensional Unitary Groups.*
[MIMS Preprint]

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## Abstract

For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x, y in X joined by an edge if x =/= y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 3-dimensional projective special unitary group and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.

Item Type: | MIMS Preprint |
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Uncontrolled Keywords: | Unitary Groups; Involutions; Commuting Involution Graphs |

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

Depositing User: | Mr Alistaire Everett |

Date Deposited: | 18 Jan 2011 |

Last Modified: | 08 Nov 2017 18:18 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/1565 |

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