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Factorizations of the sporadic simple groups
Archiv der Mathematik, 1986Let G be one of the 26 (presently known) sporadic finite simple groups. We assume that all simple subgroups of G are known groups, and prove the following result. Theorem. Let \(G=AB\) where A, B are proper non-Abelian simple subgroups of G. Then one of the following holds: (1) \(G=M_{12}\), \(A\cong A_ 5\), \(L_ 2(11)\), or \(M_{11}\), \(B\cong M_{11};
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Simple Groups and Simple Lie Algebras [PDF]
Journal of the London Mathematical Society, 1965 openaire +2 more sources
The orders of the classical simple groups
Communications on Pure and Applied Mathematics, 1955openaire +2 more sources