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 3136 articles , 5 standard articles )

Showing results 1 to 20 of 3136.
Sorted by year (citations)

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  1. Barth, Dominik; Wenz, Andreas: On Elkies’ method for bounding the transitivity degree of Galois groups (2022)
  2. Böhm, Janko; Decker, Wolfram; Laplagne, Santiago; Pfister, Gerhard: Computing integral bases via localization and Hensel lifting (2022)
  3. Chen, Jiyong; Du, Shaofei; Li, Cai Heng: Skew-morphisms of nonabelian characteristically simple groups (2022)
  4. Dietrich, Heiko; Eick, Bettina; Pan, Xueyu: Groups whose orders factorise into at most four primes (2022)
  5. Dražić, Goran: Rational (D(q))-quintuples (2022)
  6. Gorla, Elisa; Mueller, Daniela; Petit, Christophe: Stronger bounds on the cost of computing Gröbner bases for HFE systems (2022)
  7. Kemper, Gregor: Computing quotients by connected solvable groups (2022)
  8. Khasraw, S. M. S.; McInroy, J.; Shpectorov, S.: Enumerating 3-generated axial algebras of Monster type (2022)
  9. Kudo, Momonari: Computing representation matrices for the action of Frobenius on cohomology groups (2022)
  10. Schröer, Stefan: Elliptic curves over the rational numbers with semi-abelian reduction and two-division points (2022)
  11. Abdukhalikov, Kanat: Equivalence classes of Niho bent functions (2021)
  12. Acciaro, Vincenzo; Savin, Diana; Taous, Mohammed; Zekhnini, Abdelkader: On quaternion algebras over the composite of quadratic number fields (2021)
  13. Addington, Nicolas; Antieau, Benjamin; Honigs, Katrina; Frei, Sarah: Rational points and derived equivalence (2021)
  14. Aksoy, Refia; Çalışkan, Fatma: Self-dual codes over (\mathbbF_2 \times(\mathbbF_2+v\mathbbF_2)) (2021)
  15. Alberich-Carramiñana, Maria; Àlvarez Montaner, Josep; Blanco, Guillem: Monomial generators of complete planar ideals (2021)
  16. Alfarano, Gianira N.; Lobillo, F. J.; Neri, Alessandro: Roos bound for skew cyclic codes in Hamming and rank metric (2021)
  17. Almendras Valdebenito, Alexis E.; Tironi, Andrea Luigi: Lower and upper bounds for some generalized arcs (2021)
  18. Amery, Gareth; Gomani, Stuart; Rodrigues, Bernardo Gabriel: Designs and binary codes from maximal subgroups and conjugacy classes of (\mathrmM_11) (2021)
  19. Anderson, Gradin; Humphries, Stephen P.; Nicholson, Nathan: Strong Gelfand pairs of symmetric groups (2021)
  20. Andrica, Dorin; Ţurcaş, George C.: Pairs of rational triangles with equal symmetric invariants (2021)

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