query: Center of general linear group
positive_passages.docid: 4280
positive_passages.text: A linear operator commuting with all such operators is a scalar multiple of the identity.
negative_passages.docid: 83916
negative_passages.text: Center of dihedral group
negative_passages.docid: 90511
negative_passages.text: Commutator subgroup of a dihedral group.
negative_passages.docid: 11627
negative_passages.text: Find the center of the symmetry group $S_n$.
negative_passages.docid: 87823
negative_passages.text: GAP: how to work with elements of the group ring of the symmetric group $\mathbb{C}[S_k]$?
negative_passages.docid: 42891
negative_passages.text: Prove that $Z(G)$ which is the center of $G$ is a subgroup of $G$
negative_passages.docid: 16476
negative_passages.text: Order of the product of two commuting elements with coprime orders in a group.
negative_passages.docid: 105610
negative_passages.text: Normalizer of upper triangular group in ${\rm GL}(n,F)$
negative_passages.docid: 55769
negative_passages.text: Why is there no functor $\mathsf{Group}\to\mathsf{AbGroup}$ sending groups to their centers?
negative_passages.docid: 110217
negative_passages.text: $GL(n,K)$ is open in $M(n,K)$
negative_passages.docid: 66510
negative_passages.text: A group is abelian if and only if the center of the group is all the group
negative_passages.docid: 19720
negative_passages.text: A normal subgroup intersects the center of the $p$-group nontrivially
negative_passages.docid: 2794
negative_passages.text: Prove that if a group contains exactly one element of order 2, then that element is in the center of the group.
negative_passages.docid: 37414
negative_passages.text: Question on Groups $G=\langle x,y|x^4=y^4=e,xyxy^{-1}=e\rangle$
negative_passages.docid: 7528
negative_passages.text: Index of the center of a group in the group is not a prime number
negative_passages.docid: 74978
negative_passages.text: How the center of a non-cyclic free Group is trivial?
negative_passages.docid: 88304
negative_passages.text: Center of $D_6$ is $\mathbb{Z}_2$