Definition:Solvable Group

Definition

Let $G$ be a finite group.

Then $G$ is a solvable group iff 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.

Sources

• Allan Clark: Elements of Abstract Algebra (1971)... (previous)... (next): $\S 75$