Periodic normal subgroup

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This article describes a property that arises as the conjunction of a subgroup property: normal subgroup with a group property (itself viewed as a subgroup property): periodic group
View a complete list of such conjunctions


A subgroup of a group is termed a periodic normal subgroup if it satisfies the following two conditions:

Relation with other properties

Stronger properties

Weaker properties



This subgroup property is quotient-transitive: the corresponding quotient property is transitive.
View a complete list of quotient-transitive subgroup properties