Group of finite composition length

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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This is a variation of finiteness (groups)|Find other variations of finiteness (groups) |

This property makes sense for infinite groups. For finite groups, it is always true

Definition

A group is said to have finite composition length if it possesses a composition series of finite length, viz., a subnormal series suchthat all the successive quotients are finite groups.

Relation with other properties

Stronger properties

• Finite group