Difference between revisions of "C1-group"
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− | {{ | + | {{group property}} |
{{semistddef}} | {{semistddef}} | ||
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+ | ==History== | ||
+ | |||
+ | ===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== | ||
+ | |||
+ | ===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]]. | ||
+ | |||
+ | ==References== | ||
+ | |||
+ | * ''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