Characteristically polycyclic 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 polycyclic if there exists a characteristic series (i.e., a subgroup series where all the subgroups are characteristic) of finite length for the group, such that all the factor groups are cyclic groups.

Relation with other properties

Stronger properties

Weaker properties

Facts

References

Journal references