Group Theory : How is N Normal?
43651
Normal subgroups and factor groups
52089
Group of $2n$ elements, $n$ odd, is not simple
94999
A subgroup with an index of 2 is normal to the group.
58694
Which non-abelian finite groups have the property that every subgroup is normal?
22444
Normal subgroups of dihedral groups
67554
In a group, the number of non-self-inverse elements is even
2529
Introductory Group theory textbook
90081
problems in group theory
25404
Let $G$ be a group of order $2m$ where $m$ is odd. Prove that $G$ contains a normal subgroup of order $m$
109236
Subgroups containing kernel of group morphism to an abelian group are normal.
90449
Showing that a Sylow subgroup of a group of order $p^{2}q$ is normal.
80186
How to show that $K\leq S_4$ is a normal subgroup?
92837
Solvable and nilpotent groups, normal series and intuition
58914
Any group of index 2 is normal
116125
A group $G$ with $G'$ abelian and every abelian normal subgroup finite
55178
When there is a unique Sylow p-subgroup it is normal, does this mean that non-unique p-subgroups are not normal?
45580
Intersection of conjugate subgroups is normal