Use this URL to cite or link to this record in EThOS:
Title: Graphs associated with the sporadic simple groups Fi₂₄ and BM
Author: Wright, Benjamin
ISNI:       0000 0004 2709 2048
Awarding Body: University of Manchester
Current Institution: University of Manchester
Date of Award: 2011
Availability of Full Text:
Access from EThOS:
Access from Institution:
Our aim is to calculate some graphs associated with two of the larger sporadicsimple groups, Fi₂₄ and the Baby Monster. Firstly we calculate the point line collinearity graph for a maximal 2-local geometry of Fi₂₄. If T is such a geometry, then the point line collinearity graph G will be the graph whose vertices are the points in T, with any two vertices joined by an edge if and only if they are incident with a common line. We found that the graph has diameter 5 and we give its collapsed adjacency matrix. We also calculate part of the commuting involution graph, C, for the class 2C of the Baby Monster, whose vertex set is the conjugacy class 2C, with any two elements joined by an edge if and only if they commute. We have managed to place all vertices inside C whose product with a fixed vertex t does not have 2 power order, with all evidence pointing towards C having diameter 3.
Supervisor: Rowley, Peter ; Stohr, Ralph Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Finite Group Theory ; Sporadic Simple Group ; Baby Monster ; Fi24