# C normal subgroup

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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