
Magma
 Referenced in 3296 articles
[sw00540]
 working with structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes ... Magma is distributed by the Computational Algebra Group at the University of Sydney. Its development...

GAP
 Referenced in 3154 articles
[sw00320]
 research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures...

Help
 Referenced in 17 articles
[sw14497]
 augmentations of torsion units in integral group rings using a method developed by Luthar, Passi ... Prime Graph Question for finite groups, once characters are known. It uses an interface...

Modp group cohomology
 Referenced in 8 articles
[sw08638]
 system. It computes modular cohomology rings of finite groups. It yields minimal presentations ... cohomology rings of all groups of order 128. It was also used to compute ... ring of the third Conway group, showing that this ring is CohenMacaulay...

PERMS
 Referenced in 7 articles
[sw20247]
 investigation of permutation groups; Group ring tools; Partitions, types, tableaux; Special idempotents and generating elements...

MRC
 Referenced in 4 articles
[sw30136]
 procedures for computing in monoid and group rings. Gröbner bases and Buchberger’s algorithm have ... been generalized to monoid and group rings. In this paper we present the data structures...

GroupRingModule
 Referenced in 2 articles
[sw32227]
 Groups, Rings and Modules: The theory of groups, rings and modules is developed ... Group theory results include Zassenhaus’s theorem and the JordanHoelder theorem. The ring theory...

gaia
 Referenced in 4 articles
[sw09607]
 files that implement sets, groups, rings, etc. The objective is to implement the ”Elements...

FourTiTwo
 Referenced in 8 articles
[sw07615]
 invariant under a symmetric group action. The polynomial rings are increasing in Krull dimension. Underlying...

Congruence
 Referenced in 2 articles
[sw08632]
 subgroups of finite index in integral group rings of finite groups. E. Jespers, G. Leal ... finite index in the integral group ring of a finite group G provided G does ... Wedderburn components, that is, 2×2 matrix rings over either the rationals, a quadratic imaginary ... commutative division algebra, in its rational group algebra. The aim of the paper...

wedderga
 Referenced in 13 articles
[sw01019]
 crossed products over a group with coefficients in an associative ring with identity...

SONATA
 Referenced in 22 articles
[sw04904]
 rings And Their Applications) based on GAP, the well known powerful program for groups ... deal with very large nearrings, in some cases up to 10^50 elements...

OOLACA
 Referenced in 3 articles
[sw09956]
 with abstract algebraic structures, such as: groups, rings, fields, etc., define new algebraic structures...

Mapleflagcohomology
 Referenced in 4 articles
[sw31745]
 compact connected Lie group and T be its maximal torus. The homogeneous space ... coefficients) the {em double coinvariant ring} of the Weyl group (3) the {em GKM ring...

PCQL
 Referenced in 2 articles
[sw09148]
 algorithm uses Groebner bases over integral group rings of polycyclic groups as main means...

symmChainGens
 Referenced in 8 articles
[sw06689]
 under a symmetric group action. In our setting, the ambient rings for these ideals ... polynomial rings which are increasing in (Krull) dimension. Thus, these chains will fail to stabilize ... that ”up to the action of the group”, these chains locally stabilize. We also give...

DoConA
 Referenced in 1 article
[sw37631]
 notions of the algebraic structures: Semigroup, Group, Ring, and so on. Arithmetic and some other ... very generic assumptions: ”over any group”, ”over any ring”, and so on. Currently the following...

InvariantRing
 Referenced in 1 article
[sw12134]
 Computing the invariant ring of a finite group. We give an overview ... tools for describing the invariant ring of finite group actions on polynomial rings in characteristic...

STRATIFY
 Referenced in 1 article
[sw18775]
 Intersections of polynomial rings and modules with applications. We are concerned with two problems, namely ... stratification of linear actions of compact Lie groups. The connection between these seemingly unrelated problems ... compute invariants of algebraic groups and invariant rings of compact Lie groups, and for computing...

finvar.lib
 Referenced in 2 articles
[sw00291]
 library for computing invariant rings of finite groups...