Why in Quotient Group we need normal subgroup?
5024
Why do we define quotient groups for normal subgroups only?
70373
Intersection of normal subgroups proof
121587
Let $H$ be a normal subgroup of index $n$ in a group $G$. Show that for all $g \in G, g^n \in H$
6134
Some Subgroup of Dihedral Group is Normal
27703
an example of a non-abelian group $G$ containing a proper normal subgroup $N$ such that $G/N$ is abelian.
141043
$H$ normal in $G$. Need $G$ contain a subgroup isomorphic to $G/H$
35602
If a subgroup has smallest prime index, then it is normal
41237
$H$ is normal subgroup of $G$ iff $gHg^{-1}=H$ for every $g$ of $G$
59561
Suppose that G is a group and N < G a normal subgroup. Prove G/N is simple
122266
equivalent definition of normal subgroup
57227
Maximal normal $\pi$-subgroups and torsion subgroups
63780
to show characteristic subgroup is normal in G
99114
Subgroups of index 3 are normal
82899
Why the term and the concept of quotient group?
156463
The complement of a proper subgroup generates the whole group
125498
Check whether subgroup is normal in $ S_4$
111375
Normality of subgroups and Sylow groups under homomorphisms...