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.
Acknowledgment
I would like to thank the anonymous referee who read the paper carefully and proposed corrections.