caa a22 4500 378875469 CHVBK 20180305123419.0 cr unu---uuuuu 161128e20030701xx s 000 0 eng 10.1515/156939203322385892 doi (NATIONALLICENCE)gruyter-10.1515/156939203322385892 Timofeenko A. V. Generating triples of involutions of large sporadic groups [Elektronische Daten] [A. V. Timofeenko] 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. Copyright 2003, Walter de Gruyter Discrete Mathematics and Applications Walter de Gruyter 13/3(2003-07-01), 291-300 0924-9265 13:3<291 2003 13 dma https://doi.org/10.1515/156939203322385892 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939203322385892 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Timofeenko A. V. NATIONALLICENCE 773 0- Discrete Mathematics and Applications Walter de Gruyter 13/3(2003-07-01), 291-300 0924-9265 13:3<291 2003 13 dma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter