# Almost simple group

## Definition

### Symbol-free definition

A group is said to be almost simple if it satisfies the following equivalent conditions:

### Definition with symbols

A group  is said to be almost simple if it satisfies the following equivalent conditions:

• There is a simple non-abelian group  such that  for some group  isomorphic to .
• There exists a normal subgroup  of  such that  is a simple non-abelian group and  is trivial.
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property satisfactions |
This is a variation of simplicity|Find other variations of simplicity | Read a survey article on varying simplicity