Automorph-join-closed subnormal subgroup

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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 of a group is termed automorph-join-closed subnormal if the join of any collection of subgroups that are automorphic to it (i.e., its images under automorphisms of the whole group) is a subnormal subgroup.

Relation with other properties

Stronger properties

Weaker properties

Facts