Monolithic group
From Groupprops
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 implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
This is a variation of simplicity|Find other variations of simplicity | Read a survey article on varying simplicity
Contents
Definition
Symbol-free definition
A group is said to be monolithic if it has a unique minimal normal subgroup, and this is contained in every nontrivial normal subgroup. This minimal normal subgroup is termed a monolith.
