Solvable 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): solvable group
View a complete list of such conjunctions

Definition

Symbol-free definition

A subgroup of a group is termed a solvable normal subgroup if it is normal as a subgroup and solvable as a group.

Examples

VIEW: subgroups satisfying this property | subgroups dissatisfying property normal subgroup | subgroups dissatisfying property solvable group
VIEW: Related subgroup property satisfactions | Related subgroup property dissatisfactions

Relation with other properties

Stronger properties

• Cyclic normal subgroup
• Abelian normal subgroup
• Nilpotent normal subgroup
• Supersolvable normal subgroup