Characteristically metacyclic group

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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 characteristically metacyclic if it has a Cyclic characteristic subgroup (?) such that the quotient group is also a cyclic group.

Relation with other properties

Stronger properties

Weaker properties

Facts