Ballantyne, John and Rowley, Peter (2015) Local Fusion Graphs and Sporadic Simple Groups. Electronic Journal of Combinatorics, 22 (3).
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Abstract
For a group G with G-conjugacy class of involutions X, the local fusion graph F(G,X) has X as its vertex set, with distinct vertices x and y joined by an edge if, and only if, the product xy has odd order. Here we show that, with only three possible exceptions, for all pairs (G,X) with G a sporadic simple group or the automorphism group of a sporadic simple group, F(G,X) has diameter 2.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Local Fusion Graph, Sporadic Simple Group, Diameter |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations |
| Depositing User: | Dr John Ballantyne |
| Date Deposited: | 21 Sep 2015 |
| Last Modified: | 20 Oct 2017 14:13 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2383 |
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