# 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.VIEW: Definitions built on this | Facts about this: (factscloselyrelated to Maximal factorization, all facts related to Maximal factorization) |Survey articles about this | Survey articles about definitions built on this

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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 is an expression where both and are maximal subgroups of .