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
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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
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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.