Тип публикации: статья из журнала
Год издания: 2003
Идентификатор DOI: 10.1515/156939203322385892
Аннотация: 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 Показать полностьюp = |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.
Журнал: Discrete Mathematics and Applications
Выпуск журнала: Т. 13, № 3
Номера страниц: 291-300
ISSN журнала: 09249265
Издатель: Brill Academic Publishers