# Definition:Solvable Group

(Redirected from Definition:Soluble Group)

## Definition

Let $G$ be a finite group.

Then $G$ is a solvable group if and only if it has a composition series in which each factor is a cyclic group.

## Also known as

A solvable group is also known as a soluble group.

## Also see

• Results about solvable groups can be found here.