Verbal subgroup of finite group

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This article describes a property that arises as the conjunction of a subgroup property: verbal subgroup with a group property imposed on the ambient group: finite group
View a complete list of such conjunctions | View a complete list of conjunctions where the group property is imposed on the subgroup

Definition

A verbal subgroup of finite group is a verbal subgroup of a finite group.

Relation with other properties

Stronger properties

property quick description proof of implication proof of strictness (reverse implication failure) intermediate notions
Verbal subgroup of group of prime power order

Weaker properties

property quick description proof of implication proof of strictness (reverse implication failure) intermediate notions
Fully invariant subgroup of finite group
Characteristic subgroup of finite group
Normal subgroup of finite group