Normal subgroup of prime index

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This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: normal subgroup and subgroup of prime index
View other subgroup property conjunctions | view all subgroup properties
This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: normal subgroup and maximal subgroup
View other subgroup property conjunctions | view all subgroup properties

Definition

A normal maximal subgroup or normal subgroup of prime index is defined in the following equivalent ways:

Relation with other properties

Stronger properties

Weaker properties