Involutions in finite simple groups as products of conjugates

Daniele Dona; Kamilla Rekv\'enyi; Martin W. Liebeck

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Involutions in finite simple groups as products of conjugates

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arxiv 2402.08497 v1 pith:BKZB6XLT submitted 2024-02-13 math.GR

Involutions in finite simple groups as products of conjugates

Daniele Dona , Martin W. Liebeck , Kamilla Rekv\'enyi This is my paper

classification math.GR

keywords finitegraphsimpleboundedcayleyclassconjugacyconjugates

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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.

Involutions in finite simple groups as products of conjugates

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