Involutions in finite simple groups as products of conjugates

Dona, Daniele and Liebeck, Martin W. and Rekvényi, Kamilla (2024) Involutions in finite simple groups as products of conjugates. COMMUNICATIONS IN ALGEBRA, 52 (9). pp. 3750-3761. ISSN 0092-7872

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Abstract

Let G be a finite non-abelian simple group, C a non-identity conjugacy class of G, and C the Cayley graph of G based on C ∪ 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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