Subgroup of finite solvable group

This article describes a property that arises as the conjunction of a subgroup property: subgroup with a group property imposed on the ambient group: finite solvable 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 subgroup of finite solvable group is a subgroup of a finite solvable group (a finite group that is also a solvable group).

Relation with other properties

Stronger properties

• Subgroup of finite cyclic group
• Subgroup of finite abelian group
• Subgroup of finite nilpotent group

Weaker properties

• Subgroup whose composition factors are a subset of the composition factors of the whole group