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Coprime automorphism-invariant normal subgroup

This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: coprime automorphism-invariant subgroup and normal subgroup
View other subgroup property conjunctions | view all subgroup properties

Contents

Definition

A subgroup of a finite group is termed a coprime automorphism-invariant normal subgroup if it is both normal and coprime automorphism-invariant: it is invariant under all coprime automorphisms of the whole group.

Relation with other properties

Facts