Generating triples of involutions of large sporadic groups

Verfasser / Beitragende:
[A. V. Timofeenko]
Ort, Verlag, Jahr:
2003
Enthalten in:
Discrete Mathematics and Applications, 13/3(2003-07-01), 291-300
Format:
Artikel (online)
ID: 378875469
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245 1 0 |a Generating triples of involutions of large sporadic groups  |h [Elektronische Daten]  |c [A. V. Timofeenko] 
520 3 |a 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. 
540 |a Copyright 2003, Walter de Gruyter 
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