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What (who) is C-normal subgroup - definition
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.
Normal subgroup
SUBGROUP INVARIANT UNDER CONJUGATION
Normal subgroups; Invariant subgroup; ◅; Normal group; ⊲; ⊳; ⊴; ⊵; ⋪; ⋫; ⋬; ⋭; Normal Subgroup; Self-conjugate subgroup
In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup N of the group G is normal in G if and only if gng^{-1} \in N for all g \in G and n \in N.
Commutator subgroup
SMALLEST NORMAL SUBGROUP BY WHICH THE QUOTIENT IS COMMUTATIVE
Derived subgroup; Abelianisation; Abelianization; Derived group; Derived series; Transfinite derived series; The Commutator Subgroup Of G; The Derived Group Of G; Commutator group
In mathematics, more specifically in abstract algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group.
