Commutator group normal in G
123610
How to show that the commutator subgroup is a normal subgroup
116786
normal subgroups of Alternating group
158074
Cyclic group $G$ with generator $ab$.
122266
equivalent definition of normal subgroup
115204
Show that SO(n) is a normal subgroup of O(n)
123677
Normal subgroups of infinite symmetric group
88199
The commutator subgroup of a quotient in terms of the commutator subgroup and the kernel
44934
Show that every normal subgroup can be written as an intersection of $\ker \chi$'s for $\chi \in \operatorname{Irr}(G).$
90449
Showing that a Sylow subgroup of a group of order $p^{2}q$ is normal.
55976
Are groups satisfying $g=g^{-1}$ for all $g \in G$ abelian?
23533
All subgroups normal $\implies$ abelian group
105170
About product of $k$ commutators
51747
Showing that the intersection of all subgroups of order $n$ is normal
75568
Subgroup of index $2$ is Normal
101079
Inner automorphisms form a normal subgroup of $\operatorname{Aut}(G)$
105322
Computing the quotient of SL(2,Z) by its commutator subgroup
29996
Prove that if a normal subgroup $H$ of $ G$ has index $n$, then $g^n \in H$ for all $g \in G$