C1-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


This article defines a term that has been used or referenced in a journal article or standard publication, but may not be generally accepted by the mathematical community as a standard term.[SHOW MORE]

History

Origin

The concept and term were introduced in the paper Groups with conjugate-permutable conditions by Shirong Li and Zhongchuan Meng.

Definition

Symbol-free definition

A group is termed a C1-group if every cyclic subgroup is self-conjugate-permutable.

References

  • Groups with conjugate-permutable conditions by Shirong Li and Zhongchuan Meng, Proceedings of the Royal Irish Academy