Group in which any two characteristic subgroups are comparable

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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

Definition

A group is termed a group in which any two characteristic subgroups are comparable if given any two characteristic subgroups of it, one is contained inside the other. In other words, the lattice of characteristic subgroups of the group is a totally ordered set.

Relation with other properties

Stronger properties