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 3296 articles , 5 standard articles )

Showing results 21 to 40 of 3296.
Sorted by year (citations)
  1. Brown, Gavin; Kasprzyk, Alexander M.; Zhu, Lei: Gorenstein formats, canonical and Calabi-Yau threefolds (2022)
  2. Bruce, Juliette; Corey, Daniel; Erman, Daniel; Goldstein, Steve; Laudone, Robert P.; Yang, Jay: Syzygies of (\mathbbP^1 \times\mathbbP^1): data and conjectures (2022)
  3. Burness, Timothy C.; Hall, Emily V.: Almost elusive permutation groups (2022)
  4. Byszewski, Jakub; Cornelissen, Gunther; Tijsma, Djurre: Automata and finite order elements in the Nottingham group (2022)
  5. Calegari, Frank; Chidambaram, Shiva: Rationality of twists of the Siegel modular variety of genus (2) and level (3) (2022)
  6. Chałupka, Karolina; Dąbrowski, Andrzej; Soydan, Gökhan: On a class of generalized Fermat equations of signature ((2,2n,3)) (2022)
  7. Chen, Chien-Hua: Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2 (2022)
  8. Chen, Jiyong; Du, Shaofei; Li, Cai Heng: Skew-morphisms of nonabelian characteristically simple groups (2022)
  9. Chirvasitu, Alexandru; Hudson, Tara; Upadhyay, Aparna: Recursive sequences attached to modular representations of finite groups (2022)
  10. Collas, Benjamin; Dettweiler, Michael; Reiter, Stefan; Sawin, Will: Monodromy of elliptic curve convolution, seven-point sheaves of (G_2) type, and motives of Beauville type (2022)
  11. Conder, Matthew J.: Discrete and free groups acting on locally finite trees (2022)
  12. Conti, Diego; Ghigi, Alessandro; Pignatelli, Roberto: Some evidence for the Coleman-Oort conjecture (2022)
  13. Cossidente, Antonio; Marino, Giuseppe; Pavese, Francesco; Smaldore, Valentino: On regular systems of finite classical polar spaces (2022)
  14. Cremona, John E.; Freitas, Nuno: Global methods for the symplectic type of congruences between elliptic curves (2022)
  15. Crnković, Dean; Danilović, Doris Dumičić; Egan, Ronan; Švob, Andrea: Periodic Golay pairs and pairwise balanced designs (2022)
  16. Crnković, Dean; Rukavina, Sanja; Švob, Andrea: Self-orthogonal codes from equitable partitions of association schemes (2022)
  17. Crnković, Dean; Švob, Andrea: New constructions of divisible design Cayley graphs (2022)
  18. Dahan, Xavier: Lexicographic Gröbner bases of bivariate polynomials modulo a univariate one (2022)
  19. Das, Pranabesh; Dey, Pallab Kanti; Koutsianas, Angelos; Tzanakis, Nikos: Perfect powers in sum of three fifth powers (2022)
  20. Dembélé, Lassina: On the existence of abelian surfaces with everywhere good reduction (2022)

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