CCP-group

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

History

The notion of CCP-group was introduced and explored by Tuval Foguel in his article Groups with all Cyclic subgroups Conjugate - Permutable which appeared in the Journal of Group Theory, 2, no.1, (99), 47-52

Definition

Symbol-free definition

A group is termed a CCP-group or a cyclic subgroups are conjugate-permutable group if every cyclic subgroup is conjugate-permutable.

References

• Groups with all Cyclic subgroups Conjugate - Permutable by Tuval Foguel, Journal of Group Theory, 2, no.1, (99), 47-52

External links

• Groups with all cyclic subgroups conjugate-permutable (PDF) from Tuval Foguel's homepage