, Volume 44, Issue 1, pp 160-164

On Generation of Sporadic Simple Groups by Three Involutions Two of Which Commute

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Abstract

We prove the following result: Let G be one of the 26 sporadic simple groups. The group G cannot be generated by three involutions two of which commute if and only if G is isomorphic to M 11, M 22, M 23, or M cL .