Normal Subgroup Representation Theory
44934
Show that every normal subgroup can be written as an intersection of $\ker \chi$'s for $\chi \in \operatorname{Irr}(G).$
13523
Are normal subgroups transitive?
139096
$|AxA|$ is a constant implies normal subgroup
99114
Subgroups of index 3 are normal
130937
Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
33294
The correspondence theorem for groups
86872
normalized subgroup by another subgroup
125244
Equivalent definitions of normal subgroups
122266
equivalent definition of normal subgroup
45277
The alternating group is a normal subgroup of the symmetric group
11731
Normal subgroups of $S_4$
23941
Normal Subgroups that Intersect Trivially
91772
Proving that $A_n$ is the only proper nontrivial normal subgroup of $S_n$, $n\geq 5$
91874
Existence of finite indexed normal subgroup for a given finite indexed subgroup.
72150
Union of the conjugates of a proper subgroup
2174
Proving that HK is a subgroup when K is normal
55493
Showing that the path-connected component of the identity matrix in a subgroup of $GL_n(\Bbb R)$ is a normal subgroup