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Groupprops β

C-subnormal subgroup

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