# Group in which every proper Hall subgroup is solvable

From Groupprops

This article defines a property that can be evaluated for finite groups (and hence, a particular kind of group property)

View other properties of finite groups OR View all group properties

## Definition

A **group in which every proper Hall subgroup is solvable** is a finite group with the property that every *proper* Hall subgroup of the group is defining ingredient::solvable group|solvable]].

## Relation with other properties

### Stronger properties

- Minimal simple group
- Alternating group of composite degree.
- Symmetric group of composite degree.
`For full proof, refer: Symmetric group of composite degree implies every proper Hall subgroup is solvable`