Abstract
Let G be a finite non-abelian simple group, C a non-identity conjugacy class of G, and Γ C the Cayley graph of G based on (Formula presented.). Our main result shows that in any such graph, there is an involution at bounded distance from the identity.
| Original language | English |
|---|---|
| Pages (from-to) | 3750-3761 |
| Number of pages | 12 |
| Journal | Communications in Algebra |
| Volume | 52 |
| Issue number | 9 |
| Early online date | 20 Mar 2024 |
| DOIs | |
| Publication status | E-pub ahead of print - 20 Mar 2024 |
Keywords
- Cayley graphs
- conjugacy classes
- finite simple groups
- involutions
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