Maximal factorization

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This article is about a definition in group theory that is standard among the group theory community (or sub-community that dabbles in such things) but is not very basic or common for people outside.
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Definition

Symbol-free definition

A maximal factorization of a group is an expression of the group as the product of two maximal subgroups.

Definition with symbols

A maximal factorization of a group G is an expression G = AB where both A and B are maximal subgroups of G.