A. V. Timofeenko
Generating triples of involutions of large sporadic groups
In each finite simple sporadic group, excepting the Baby Monster group B, the Monster
group M, the McLaughlin group McL and Mathieu groups M
11, M
22 , M
23, three generating involutions, two of which commute, are found.
If G is one of the groups M
12, M
24 , HS, J
1, J
2, J
3, then we give pairs of numbers p, q, p ≤ q,
such that p = |ik|, q = |jk| for some involutions i , j , k with condition |ij| = 2 generating the group G. The triples of involutions mentioned above are found with the use of the system of computer
algebra GAP. Recall that any two involutions of the triple of involutions generating either McL, or
M
11, or M
22, or M
23 do not commute.
Discrete Mathematics and Applications, Walter de Gruyter
Print ISSN: 0924-9266
Volume: 13, 07/2003
Pages: 291 - 300
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