Normal subgroup having no common composition factor with its quotient group

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]

Definition

A subgroup N of a group of finite composition length G is termed a normal subgroup having no common composition factor with its quotient group if N is a normal subgroup of G and no composition factor of N is isomorphic to any composition factor of the quotient group G/N.

Relation with other properties

Stronger properties

Weaker properties

Incomparable properties