Equivalent definition of normal subgroups
122266
equivalent definition of normal subgroup
44165
the image of normal subgroups
78580
Is $SL_n(\mathbb{R})$ a normal subgroup in $GL_n(\mathbb{R})$?
104505
Is every normal subgroup the kernel of some endomorphism?
4883
Let $H$ be a subgroup of a group $G$ such that $x^2 \in H$ , $\forall x\in G$ . Prove that $H$ is a normal subgroup of $G$
58694
Which non-abelian finite groups have the property that every subgroup is normal?
155054
$G$ be a group and $H$ be a normal subgroup of index $p$ ( a prime ) ; suppose $K$ is a subgroup of $G$ not contained in $H$ , then $G=HK$?
14666
What are the non-trivial normal subgroups of $O(3)$?
1360
Every group of order $150$ has a normal subgroup of order $25$
56245
Let H be a subgroup of a group G. Prove that the following statements are equivalent.
45580
Intersection of conjugate subgroups is normal
89508
Existence of normal subgroups for a group of order $36$
22444
Normal subgroups of dihedral groups
57883
Example of a Subgroup That Is Not Normal
103002
Group equals union of two subgroups
99114
Subgroups of index 3 are normal
141043
$H$ normal in $G$. Need $G$ contain a subgroup isomorphic to $G/H$