Periodic normal subgroup
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
Relation with other properties
- Amalgam-characteristic subgroup: For proof of the implication, refer Periodic normal implies amalgam-characteristic and for proof of its strictness (i.e. the reverse implication being false) refer Amalgam-characteristic not implies periodic normal.
- Potentially characteristic subgroup
- Normal subgroup
This subgroup property is quotient-transitive: the corresponding quotient property is transitive.
View a complete list of quotient-transitive subgroup properties