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 2857 articles , 5 standard articles )

Showing results 1 to 20 of 2857.
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  1. Artebani, Michela; Correa Deisler, Claudia; Laface, Antonio: Cox rings of (K3) surfaces of Picard number three (2021)
  2. Babei, Angelica; Rolen, Larry; Wagner, Ian: The Riemann hypothesis for period polynomials of Hilbert modular forms (2021)
  3. Calderini, Marco; Civino, Roberto; Sala, Massimiliano: On properties of translation groups in the affine general linear group with applications to cryptography (2021)
  4. Carbone, Lisa; Kownacki, Matt; Murray, Scott H.; Srinivasan, Sowmya: Commutator relations and structure constants for rank 2 Kac-Moody algebras (2021)
  5. Carvacho, Mariela; Paulhus, Jennifer; Tucker, Thomas; Wootton, Aaron: Non-abelian simple groups act with almost all signatures (2021)
  6. Chang, Xuenan; Ma, Jicheng; Yang, Da-Wei: Symmetric property and reliability of locally twisted cubes (2021)
  7. Chen, Yin; Shank, R. James; Wehlau, David L.: Modular invariants of finite gluing groups (2021)
  8. Conder, Marston D. E.: The smallest symmetric cubic graphs with given type (2021)
  9. Conder, Marston D. E.; Feng, Yan-Quan; Hou, Dong-Dong: Two infinite families of chiral polytopes of type 4,4,4 with solvable automorphism groups (2021)
  10. Devillers, Alice; Liang, Hongxue; Praeger, Cheryl E.; Xia, Binzhou: On flag-transitive (2)-((v,k,2)) designs (2021)
  11. Dinh, Hai Q.; Bag, Tushar; Upadhyay, Ashish K.; Bandi, Ramakrishna; Tansuchat, Roengchai: A class of skew cyclic codes and application in quantum codes construction (2021)
  12. Eder, Christian; Hofmann, Tommy: Efficient Gröbner bases computation over principal ideal rings (2021)
  13. Ferraguti, Andrea; Micheli, Giacomo: Exceptional scatteredness in prime degree (2021)
  14. Gužvić, Tomislav: Torsion growth of rational elliptic curves in sextic number fields (2021)
  15. Kaushik, Rahul; Yadav, Manoj K.: Commutators and commutator subgroups of finite (p)-groups (2021)
  16. Krumm, David; Sutherland, Nicole: Galois groups over rational function fields and explicit Hilbert irreducibility (2021)
  17. Morgan, Luke; Morris, Joy; Verret, Gabriel: A finite simple group is CCA if and only if it has no element of order four (2021)
  18. Rahimipour, Ali Reza; Moshtagh, Hossein: Janko sporadic group (\mathrmJ_2) as automorphism group of 3-designs (2021)
  19. Semaev, Igor; Tenti, Andrea: Probabilistic analysis on Macaulay matrices over finite fields and complexity of constructing Gröbner bases (2021)
  20. Yin, Fu-Gang; Feng, Yan-Quan; Zhou, Jin-Xin; Chen, Shan-Shan: Arc-transitive Cayley graphs on nonabelian simple groups with prime valency (2021)

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