Mathematics Automorphism towers of general linear groups COLORADO STATE UNIVERSITY Alexander Hulpke JonsdottirMargret SoleyLet , be a group, be the automorphism group of , the automorphism group of etc. The sequence of these groups together with the natural homomorphisms π: [arrow right] , which...
Automorphism group of a local inclusion graph over the general linear groupJinxing ZhaoDein WongFenglei Tian
Congruential automorphism groups of general matricesCongruential automorphism groups of general matricesAutomorphism groupBoundedCanonical anglesCongruenceSimple canonical linesUnitoidFor A∈Mn(C), Aut(A), the congruential automorphism group of A, is the set of all non-singular C∈Mn(C) such that CAC=...
英文: Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices, and it is illustrated by matrices generalized inverses.中文: 给出了通过求解可逆矩阵构成的一般线性群,获得线性码的自同构群的方法,并利用矩阵广义逆理论,对线性码的...
automorphismgroupofanAGcodeandgiveanexplicitdescriptionof howthesegroupsappear.WegiveexamplesofgeneralizedReed-Solomon codeswithlargeautomorphismgroupsG,suchasG=PSL(2,q),and explicitlydescribetheirG-modulestructure. 1Introduction Reed-Solomoncodesarepopularinapplicationsbecausefastencodingandde- ...
the group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with the Thompson metric, and the group of all surjective isometries on the general linear group of B(H), the operator algebra over a co...
Letn>2. The groupGof Poisson automorphisms of a deformation of a\textbf{A}_{\mathbf {n-1}}Kleinian singularity is isomorphic to the group of automorphisms of the corresponding quantization. The dependence ofGon the deformation parameter splits into two classes, one for generic and one for spe...
In 1963, W. Charles Holland proved that every lattice-ordered group can be embedded in the lattice-ordered group of all order-preserving permutations of a totally ordered set. In this article we examine the context and proof of this result and survey som
In particular, due to their classical works, it is known that the mapping class group of a compact oriented surface with one boundary component can be embedded into the automorphism group of a free group. In general, the fundamental groups are non-abelian groups, and to deal with non-...
"On the automorphism group of K X,Y!.", vol. 5, Kinokuniya, Tokyo, Japan, 1972. Niederreiter, H. "New Deterministic Factorization Algorithm for Polynomials over Finite Fields." Contemporary Mathematics (Finite Fields) (AMS), vol. 168, 1993. Rivest, R.L. Shamir, A., and Adleman, L...