C-normal subgroup

In mathematics, in the field of group theory, a subgroup $H$ of a group $G$ is called c-normal if there is a normal subgroup $T$ of $G$ such that $HT=G$ and the intersection of $H$ and $T$ lies inside the normal core of $H$ .

For a weakly c-normal subgroup, we only require $T$ to be subnormal.

Here are some facts on c-normal subgroups:

References

Y. Wang, c-normality of groups and its properties, Journal of Algebra, Vol. 180 (1996), 954-965

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