Difference between revisions of "C-subnormal subgroup"

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m (Weakly c-normal subgroup moved to C-subnormal subgroup: The name c-subnormal was used in an earlier paper)
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===Origin===
 
===Origin===
  
The notion of weakly c-normal subgroup was introduced in a joint paper by Zhu, Guo and Shum in 2002, as a notion closely related to [[subnormal subgroup]]s and to [[c-normal subgroup]]s (a notion introduced by Wang in 1996).
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The notion of '''c-subnormal subgroup''' was considered by Jaraden Jehad in a paper in 2000. Later, an equivalent notion of '''weakly c-normal subgroup''' was introduced in a joint paper by Zhu, Guo and Shum in 2002, as a notion closely related to [[subnormal subgroup]]s and to [[c-normal subgroup]]s (a notion introduced by Wang in 1996).
  
 
==Definition==
 
==Definition==
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==References==
 
==References==
  
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* ''Some conditions for solubility'' by jaraden Jehad, ''Math. J. Okayama Univ. 42 (2000)''
 
* ''Weakly c-normal subgroups of finite groups and their properties'' by Lujin Zhu, Wenbin Guo and K. B. Shum, ''Communications in Algebra, 30:11, 5505-5512''
 
* ''Weakly c-normal subgroups of finite groups and their properties'' by Lujin Zhu, Wenbin Guo and K. B. Shum, ''Communications in Algebra, 30:11, 5505-5512''
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==External links==
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* [http://www.math.okayama-u.ac.jp/mjou/mjou42/solubility1cp.pdf Link to Jehad's paper]

Revision as of 14:30, 25 May 2007

This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
This is a variation of normality|Find other variations of normality | Read a survey article on varying normality

History

Origin

The notion of c-subnormal subgroup was considered by Jaraden Jehad in a paper in 2000. Later, an equivalent notion of weakly c-normal subgroup was introduced in a joint paper by Zhu, Guo and Shum in 2002, as a notion closely related to subnormal subgroups and to c-normal subgroups (a notion introduced by Wang in 1996).

Definition

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Relation with other properties

Stronger properties

References

  • Some conditions for solubility by jaraden Jehad, Math. J. Okayama Univ. 42 (2000)
  • Weakly c-normal subgroups of finite groups and their properties by Lujin Zhu, Wenbin Guo and K. B. Shum, Communications in Algebra, 30:11, 5505-5512

External links