C-subnormal subgroup
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
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Contents
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