## 2010.67: Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups

2010.67:
Alistaire Everett and Peter Rowley
(2010)
*Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups.*

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 377 Kb |

## 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 âˆˆ 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 4-dimensional projective symplectic group and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.

Item Type: | MIMS Preprint |
---|---|

Uncontrolled Keywords: | Projective Symplectic Groups; Involutions; Commuting Involution Graphs |

Subjects: | MSC 2000 > 20 Group theory and generalizations |

MIMS number: | 2010.67 |

Deposited By: | Mr Alistaire Everett |

Deposited On: | 17 January 2011 |

Download Statistics: last 4 weeks

Repository Staff Only: edit this item