Definition:Group of Reduced Group Words

Definition

Let $S$ be a set.

The group of reduced group words on $S$ is the group $\struct {F_S, \circ}$ such that:

$F_S$ is the set of reduced group words on $S$

$\circ$ denotes composition of reduced group words.

Also see

• Group of Reduced Group Words is Group

• Definition:Free Group on Set
• Definition:Kleene Closure

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