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 joined by an edge if x not equal to y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This thesis studies C(G,X) when G is either a 4-dimensional projective symplectic group; a 3-dimensional unitary group; 4-dimensional unitary group over a field of characteristic 2; a 2-dimensional projective general linear group; or a 4-dimensional affne orthogonal group, and X a G-conjugacy class of involutions. We determine the diameters and structure of thediscs of these graphs.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:548999 |
| Date | January 2011 |
| Creators | Everett, Alistaire Duncan Fraser |
| Contributors | Rowley, Peter ; Eaton, Charles |
| Publisher | University of Manchester |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | https://www.research.manchester.ac.uk/portal/en/theses/commuting-involution-graphs-of-certain-finite-simple-classical-groups(dd54ee3d-8c94-42cd-87e1-d34770756466).html |
Page generated in 0.0019 seconds