Verbal subgroup of finite group
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 |