Complemented transitively normal subgroup

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BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: permutably complemented subgroup and transitively normal subgroup
View other subgroup property conjunctions | view all subgroup properties

Definition

Symbol-free definition

A subgroup of a group is termed a complemented transitively normal subgroup if it satisfies the following equivalent conditions:

Relation with other properties

Stronger properties

Weaker properties