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 3296 articles , 5 standard articles )

Showing results 3101 to 3120 of 3296.
Sorted by year (citations)

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  1. Schneider, Csaba: Groups of prime-power order with a small second derived quotient. (2003)
  2. Seress, Ákos: Permutation group algorithms (2003)
  3. Agashe, Amod; Stein, William: Visibility of Shafarevich-Tate groups of abelian varieties. (2002)
  4. Besche, Hans Ulrich; Eick, Bettina; O’Brien, E. A.: A millennium project: constructing small groups (2002)
  5. Borovik, Alexandre V.: Centralisers of involutions in black box groups. (2002)
  6. Boston, Nigel; Leedham-Green, Charles: Explicit computation of Galois (p)-groups unramified at (p) (2002)
  7. Bujalance, E.; Conder, M. D. E.; Gamboa, J. M.; Gromadzki, G.; Izquierdo, M.: Double coverings of Klein surfaces by a given Riemann surface (2002)
  8. Buzzard, Kevin; Stein, William A.: A mod five approach to modularity of icosahedral Galois representations. (2002)
  9. Charnes, Chris; Rötteler, Martin; Beth, Thomas: Homogeneous bent functions, invariants, and designs (2002)
  10. Clark, K. L.; Key, J. D.; de Resmini, M. J.: Dual codes of translation planes (2002)
  11. Davenport, James H.: Equality in computer algebra and beyond. (2002)
  12. Dehon, Michel; Leemans, Dimitri: Constructing coset geometries with MAGMA: an application to the sporadic groups (M_12) and (J_1) (2002)
  13. Doignon, Jean-Paul; Regenwetter, Michel: On the combinatorial structure of the approval-voting polytope (2002)
  14. Eick, Bettina; Leedham-Green, C. R.; O’Brien, E. A.: Constructing automorphism groups of (p)-groups (2002)
  15. Faugère, Jean-Charles: A new efficient algorithm for computing Gröbner bases without reduction to zero ((F_5)). (2002)
  16. Gaborit, Philippe: Quadratic double circulant codes over fields (2002)
  17. Gebhardt, Volker: Efficient collection in infinite polycyclic groups. (2002)
  18. González Vasco, María I.; Steinwandt, Rainer: Obstacles in two public key cryptosystems based on group factorizations (2002)
  19. Hess, F.: Computing Riemann-Roch spaces in algebraic function fields and related topics. (2002)
  20. Holmes, P. E.; Wilson, R. A.: A new maximal subgroup of the Monster (2002)

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