C normal subgroup
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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:
- Every normal subgroup is c normal
- Every retract is c normal
- Every c normal subgroup is weakly c normal
[edit] References
- Y. Wang, c normality of groups and its properties, Journal of Algebra, Vol. 180 (1996), 954-965