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arXiv · 2402.08497

Involutions in finite simple groups as products of conjugates

Daniele Dona·Martin W. Liebeck·Kamilla Rekvényi
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Abstract

Let $G$ be a finite non-abelian simple group, $C$ a non-identity conjugacy class of $G$, and $\Gamma_C$ the Cayley graph of $G$ based on $C \cup C^{-1}$. Our main result shows that in any such graph, there is an involution at bounded distance from the identity.

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Daniele Dona, Martin W. Liebeck, Kamilla Rekvényi. 2024-02-13. Involutions in finite simple groups as products of conjugates. https://doi.org/10.1080/00927872.2024.2328803

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