Almost simple group

From Groupprops
Jump to: navigation, search

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

Relation with other properties

Stronger properties

Facts