Subgroup of 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: 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 a group is termed a subgroup of solvable group if the whole group is a solvable group.
Relation with other properties
Stronger properties
| Property | Meaning | Proof of implication | Proof of strictness (reverse implication failure) | Intermediate notions |
|---|---|---|---|---|
| subgroup of abelian group | |FULL LIST, MORE INFO | |||
| subgroup of nilpotent group | |FULL LIST, MORE INFO |