Siberian Mathematical Journal

, Volume 44, Issue 1, pp 160-164

First online:

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

  • V. D. MazurovAffiliated withSovolev Institute of Mathematics

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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 .

finite simple group sporadic group generator involution