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Involutions in finite simple groups as products of conjugates
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classification
math.GR
keywords
finitegraphsimpleboundedcayleyclassconjugacyconjugates
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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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