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 2917 articles , 5 standard articles )

Showing results 1 to 20 of 2917.
Sorted by year (citations)

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  1. Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro: Roos bound for skew cyclic codes in Hamming and rank metric (2021)
  2. Andrica, Dorin; Ţurcaş, George C.: Pairs of rational triangles with equal symmetric invariants (2021)
  3. Artebani, Michela; Correa Deisler, Claudia; Laface, Antonio: Cox rings of (K3) surfaces of Picard number three (2021)
  4. Babei, Angelica; Rolen, Larry; Wagner, Ian: The Riemann hypothesis for period polynomials of Hilbert modular forms (2021)
  5. Bailey, R. A.; Cameron, Peter J.; Giudici, Michael; Royle, Gordon F.: Groups generated by derangements (2021)
  6. Bamberg, John; Li, Cai Heng; Swartz, Eric: A classification of finite locally 2-transitive generalized quadrangles (2021)
  7. Bartoli, Daniele; Timpanella, Marco: A family of permutation trinomials over (\mathbbF_q^2) (2021)
  8. Borges, Herivelto; Coutinho, Mariana: On the zeta function and the automorphism group of the generalized Suzuki curve (2021)
  9. Burness, Timothy C.; Li, Cai Heng: On solvable factors of almost simple groups (2021)
  10. Calderini, Marco; Civino, Roberto; Sala, Massimiliano: On properties of translation groups in the affine general linear group with applications to cryptography (2021)
  11. Cameron, Peter J.; Freedman, Saul D.; Roney-Dougal, Colva M.: The non-commuting, non-generating graph of a nilpotent group (2021)
  12. Carbone, Lisa; Kownacki, Matt; Murray, Scott H.; Srinivasan, Sowmya: Commutator relations and structure constants for rank 2 Kac-Moody algebras (2021)
  13. Carvacho, Mariela; Paulhus, Jennifer; Tucker, Thomas; Wootton, Aaron: Non-abelian simple groups act with almost all signatures (2021)
  14. Casanellas, Marta; Fernández-Sánchez, Jesús; Garrote-López, Marina: Distance to the stochastic part of phylogenetic varieties (2021)
  15. Cerchia, Michael; Rouse, Jeremy: Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves (2021)
  16. Chang, Xuenan; Ma, Jicheng; Yang, Da-Wei: Symmetric property and reliability of locally twisted cubes (2021)
  17. Chayet, Maurice; Garibaldi, Skip: A class of continuous non-associative algebras arising from algebraic groups including (E_8) (2021)
  18. Chen, Justin; Vemulapalli, Sameera; Zhang, Leon: Computing unit groups of curves (2021)
  19. Chen, Yin; Shank, R. James; Wehlau, David L.: Modular invariants of finite gluing groups (2021)
  20. Chou, Michael; Daniels, Harris B.; Krijan, Ivan; Najman, Filip: Torsion groups of elliptic curves over the (\mathbbZ_p)-extensions of (\mathbbQ) (2021)

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