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Involutions in finite simple groups as products of conjugates (2402.08497v1)
Published 13 Feb 2024 in math.GR
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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