C-normal subgroup
In mathematics, in the field of group theory, a subgroup of a group is called c-normal if there is a normal subgroup of such that and the intersection of and lies inside the normal core of .
For a weakly c-normal subgroup, we only require to be subnormal.
Here are some facts on c-normal subgroups:
- Every normal subgroup is c-normal
- Every retract is c-normal
- Every c-normal subgroup is weakly c-normal
References
- Y. Wang, c-normality of groups and its properties, Journal of Algebra, Vol. 180 (1996), 954-965
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