Algebraically closed implies simple

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., algebraically closed group) must also satisfy the second group property (i.e., simple group)
View all group property implications | View all group property non-implications
Get more facts about algebraically closed group|Get more facts about simple group

Statement

Any algebraically closed group is a simple group.