• 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...
  • Mod-p 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 Cohen-Macaulay...
  • 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...
  • Group-Ring-Module

  • 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 Jordan-Hoelder 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 near-rings, 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...
  • Maple-flag-cohomology

  • 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...
  • DoCon-A

  • 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...