Group in which every proper Hall subgroup is solvable

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