Magma

Computer algebra system (CAS). Magma is a large, well-supported software package designed for computations in algebra, number theory, algebraic geometry and algebraic combinatorics. It provides a mathematically rigorous environment for defining and working with structures such as groups, rings, fields, modules, algebras, schemes, curves, graphs, designs, codes and many others. Magma also supports a number of databases designed to aid computational research in those areas of mathematics which are algebraic in nature. The overview provides a summary of Magma’s main features. One of the aims whilst developing Magma is to maintain extensive documentation describing the features of the system. This handbook is available online. The documentation section should help introduce new users to the Magma language. Magma is distributed by the Computational Algebra Group at the University of Sydney. Its development has benefited enormously from contributions made by many members of the mathematical community. We encourage all users to report any bugs they find; regular patch fixes are available from the downloads section.

This software is also referenced in ORMS.


References in zbMATH (referenced in 2230 articles , 4 standard articles )

Showing results 1 to 20 of 2230.
Sorted by year (citations)

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  1. Alberich-Carramiñana, Maria; Montaner, Josep Àlvarez; Blanco, Guillem: Effective computation of base points of ideals in two-dimensional local rings (2019-2019)
  2. East, James; Egri-Nagy, Attila; Mitchell, James D.; Péresse, Yann: Computing finite semigroups (2019-2019)
  3. Jefferson, Christopher; Pfeiffer, Markus; Waldecker, Rebecca: New refiners for permutation group search (2019-2019)
  4. Požar, Rok: Computing stable epimorphisms onto finite groups (2019-2019)
  5. Amorós, Laia; Milione, Piermarco: Mumford curves covering $p$-adic Shimura curves and their fundamental domains (2019)
  6. Araya, Makoto; Harada, Masaaki: On the classification of linear complementary dual codes (2019)
  7. Bailey, Geoff; Cohen, Stephen D.; Sutherland, Nicole; Trudgian, Tim: Existence results for primitive elements in cubic and quartic extensions of a finite field (2019)
  8. Castillo-Ramirez, Alonso; McInroy, Justin; Rehren, Felix: Code algebras, axial algebras and VOAs (2019)
  9. Clark, Pete L.; Voight, John: Algebraic curves uniformized by congruence subgroups of triangle groups (2019)
  10. Cocke, William; Ho, Meng-Che: The probability distribution of word maps on finite groups (2019)
  11. Crespo, Teresa; Salguero, Marta: Hopf Galois structures on separable field extensions of odd prime power degree (2019)
  12. Crnković, Dean; Egan, Ronan; Švob, Andrea: Constructing self-orthogonal and Hermitian self-orthogonal codes via weighing matrices and orbit matrices (2019)
  13. Dose, Valerio; Mercuri, Pietro; Stirpe, Claudio: Double covers of Cartan modular curves (2019)
  14. Fisher, Tom: On some algebras associated to genus one curves (2019)
  15. Hirakawa, Yoshinosuke; Matsumura, Hideki: A unique pair of triangles (2019)
  16. Kim, Kwang-Seob; Miller, John C.: Class numbers of large degree nonabelian number fields (2019)
  17. Klagsbrun, Zev; Sherman, Travis; Weigandt, James: The Elkies curve has rank 28 subject only to GRH (2019)
  18. Malnič, Aleksander; Požar, Rok: On split liftings with sectional complements (2019)
  19. Molin, Pascal; Neurohr, Christian: Computing period matrices and the Abel-Jacobi map of superelliptic curves (2019)
  20. Posur, Sebastian: Constructing equivariant vector bundles via the BGG correspondence (2019)

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Further publications can be found at: http://magma.maths.usyd.edu.au/magma/citations/