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...
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...
An automorphism of a cyclic q-ary code is here a substitution over the field GF(qm). In the more general case where the automorphisms are defined by monomial matrices, we also obtain the automorphism group (called the monomial group) as the direct product of the general linear nonhomogeneous...
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=...
(originallyinvestigatedbyD¨ur in1987usingcombinatorialtechniques)usingrecentmethodsfromal- gebraicgeometry.Weclassifythosefinitegroupsthatcanariseasthe automorphismgroupofanAGcodeandgiveanexplicitdescriptionof howthesegroupsappear.WegiveexamplesofgeneralizedReed-Solomon codeswithlargeautomorphismgroupsG,suchasG=PSL(...
2.2. Linear and semilinear maps Let be vector spaces over a field . A map is called semilinear if it is additive and if there is a field automorphism such that for all and all . The map is linear if and only if . In fact, the general linear group of all linear bijections of is ...
The canonical image T of the automorphism group of the free ... BRYANT,DRENSKY - 《Canadian Journal of Mathematics》 被引量: 24发表: 1993年 On cuspidal representations of general linear groups over discrete valuation rings We define a new notion of cuspidality for representations of GLn over...
1.According to the generator matrix of a linear code, automorphism group is studied. 摘要从线性码的生成矩阵出发, 研究线性码的自同构群. 2.In this paper, we define real form of infinite rank affine Lie Algebra and we also give its some types of compact real form which is proved unique und...
GraphTheory AutomorphismGroup compute the automorphism group Calling Sequence Parameters Options Description Definition of Automorphism Group Details Examples References Compatibility Calling Sequence AutomorphismGroup( G , opts ) Parameters G - a graph.