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Groupprops β

Coprime automorphism-faithful normal subgroup

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

Contents

Definition

Symbol-free definition

A subgroup of a group is termed a coprime automorphism-faithful normal subgroup if it is both a coprime automorphism-faithful subgroup and a normal subgroup of the whole group.

Relation with other properties