Group in which every nontrivial normal subgroup contains a minimal normal subgroup

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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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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

Definition

A group in which every nontrivial normal subgroup contains a minimal normal subgroup is a group with the property that any nontrivial normal subgroup of the group contains a minimal normal subgroup.

Relation with other properties

Stronger properties