Open main menu

Groupprops β

Free implies every subgroup is descendant

This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., free group) must also satisfy the second group property (i.e., group in which every subgroup is descendant)
View all group property implications | View all group property non-implications
Get more facts about free group|Get more facts about group in which every subgroup is descendant

Statement

Facts used

Proof

The proof follows by combining Facts (1)-(3).