Abstract
A group G is said to have an exact factorization if there exist proper subgroups Ai for such that and . The number n is called length of this factorization. An exact factorization of length 3 is called exact triple factorization. In this article, we show the existence of exact factorizations of seven sporadic simple groups and . Our factorizations for five groups are exact triple. There are no reported factorizations for the groups and . We will present an exact triple factorization for and exact factorizations for and McL of length four.
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