Definably simple group
This article defines a property of a group (possibly with additional operations and structure) as viewed in logic/model theory
This is a variation of simplicity|Find other variations of simplicity | Read a survey article on varying simplicity
This article is about a standard (though not very rudimentary) definition in an area related to, but not strictly part of, group theory
A group (possibly with additional structures and relations) is said to be definably simple if it has no proper nontrivial definable normal subgroup.
Relation with other properties
For infinite groups, the following properties are weaker: