Difference between revisions of "C-subnormal subgroup"
From Groupprops
m (Weakly c-normal subgroup moved to C-subnormal subgroup: The name c-subnormal was used in an earlier paper) |
|||
Line 7: | Line 7: | ||
===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). | + | 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== | ||
Line 22: | Line 22: | ||
==References== | ==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'' | * ''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== | ||
+ | |||
+ | * [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
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
PLACEHOLDER FOR INFORMATION TO BE FILLED IN: [SHOW MORE]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