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.
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Mazurov, V.D. On Generation of Sporadic Simple Groups by Three Involutions Two of Which Commute. Siberian Mathematical Journal 44, 160–164 (2003). https://doi.org/10.1023/A:1022028807652
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DOI: https://doi.org/10.1023/A:1022028807652