query: Normal subgroups of $U(n)$
positive_passages.docid: 142413
positive_passages.text: Normal Subgroups of $SU(n)$
negative_passages.docid: 151699
negative_passages.text: Group of inner automorphisms of a group $G$
negative_passages.docid: 41231
negative_passages.text: Subgroups of (Z,+) of order n
negative_passages.docid: 157742
negative_passages.text: Prove that $U(n)$ is a manifold
negative_passages.docid: 22444
negative_passages.text: Normal subgroups of dihedral groups
negative_passages.docid: 116786
negative_passages.text: normal subgroups of Alternating group
negative_passages.docid: 12589
negative_passages.text: Show that every subgroup of the quaternion group Q is a normal subgroup of Q
negative_passages.docid: 51359
negative_passages.text: Prove that every subgroup of an abelian group is a normal subgroup.
negative_passages.docid: 80186
negative_passages.text: How to show that $K\leq S_4$ is a normal subgroup?
negative_passages.docid: 76962
negative_passages.text: Sylow $p$-subgroups of $GL_n(\mathbb{F}_p)$
negative_passages.docid: 72150
negative_passages.text: Union of the conjugates of a proper subgroup
negative_passages.docid: 91772
negative_passages.text: Proving that $A_n$ is the only proper nontrivial normal subgroup of $S_n$, $n\geq 5$
negative_passages.docid: 86336
negative_passages.text: For $G$ group and $H$ subgroup of finite index, prove that $N \subset H$ normal subgroup of $G$ of finite index exists
negative_passages.docid: 68955
negative_passages.text: Characterising subgroups of Prüfer $p$-groups.
negative_passages.docid: 90332
negative_passages.text: Prove that that $U(n)$ is an abelian group.
negative_passages.docid: 13523
negative_passages.text: Are normal subgroups transitive?
negative_passages.docid: 131204
negative_passages.text: A non-trivial normal subgroup N of a finite group G or order $p^n$ is such that $N\cap Z(G)\neq \{ 1\}$