This article describes a property that arises as the conjunction of a subgroup property: characteristic subgroup with a group property (itself viewed as a subgroup property): solvable group
View a complete list of such conjunctions
A subgroup of a group is termed a solvable characteristic subgroup if it is solvable as a group and characteristic as a subgroup.
For a finite group, this is equivalent to being a characteristic subgroup contained inside the solvable radical of the group.
Relation with other properties