Difference between revisions of "C1-group"

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==History==
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===Origin===
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The concept and term were introduced in the paper ''Groups with conjugate-permutable conditions'' by Shirong Li and Zhongchuan Meng.
  
 
==Definition==
 
==Definition==
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===Symbol-free definition===
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A [[group]] is termed a '''C1-group''' if every [[cyclic group|cyclic]] [[subgroup]] is [[self-conjugate-permutable subgroup|self-conjugate-permutable]].
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==References==
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* ''Groups with conjugate-permutable conditions'' by Shirong Li and Zhongchuan Meng, ''Proceedings of the Royal Irish Academy''

Latest revision as of 23:12, 7 May 2008

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
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