Almost simple group

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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This is a variation of simplicity|Find other variations of simplicity | Read a survey article on varying simplicity

Definition

Symbol-free definition

A group is said to be almost simple if there is a simple non-Abelian group such that the given group can be embedded between the simple group and its automorphism group.

Definition with symbols

A group $G$ is said to be almost simple if there is a simple non-Abelian group $S$ such that $S$ ≤ $G$ ≤ $Aut(S)$.

Relation with other properties

Stronger properties

• Simple non-Abelian group