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 about 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
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.