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 3315 articles , 5 standard articles )

Showing results 3281 to 3300 of 3315.
Sorted by year (citations)

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  1. Michler, Gerhard O.; Solberg, Øyvind: Testing modules of groups of even order for simplicity (1998)
  2. Nebe, Gabriele: Finite quaternionic matrix groups (1998)
  3. Rains, E. M.; Sloane, N. J. A.: The shadow theory of modular and unimodular lattices (1998)
  4. Rylands, L. J.; Taylor, D. E.: Matrix generators for the orthogonal groups (1998)
  5. Seress, Ákos: Nearly linear time algorithms for permutation groups: An interplay between theory and practice (1998)
  6. Shor, P. W.; Sloane, N. J. A.: A family of optimal packings in Grassmannian manifolds (1998)
  7. Wood, R. M. W.: Problems in the Steenrod algebra (1998)
  8. Bosma, Wieb; Cannon, John; Playoust, Catherine: The Magma algebra system. I: The user language (1997)
  9. Bosma, Wieb; Cannon, John; Steel, Allan: Lattices of compatibly embedded finite fields (1997)
  10. Calderbank, A. R.; Sloane, N. J. A.: Double circulant codes over (\mathbbZ_ 4) and even unimodular lattices (1997)
  11. Cannon, John; Playoust, Catherine: Using the magma computer algebra system in abstract algebra courses. (1997) ioport
  12. Leon, Jeffrey S.: Partitions, refinements, and permutation group computation (1997)
  13. Praeger, Cheryl E.; Soicher, Leonard H.: Low rank representations and graphs for sporadic groups (1997)
  14. Seress, Ákos: An introduction to computational group theory (1997)
  15. Steel, Allan: A new algorithm for the computation of canonical forms of matrices over fields (1997)
  16. Andrä, Heiko: A Galerkin-type boundary element implementation for 3D elasticity problems by using a computer algebra system (1996)
  17. Assmus, E. F. jun.; Key, J. D.: Designs and codes: An update (1996)
  18. Bosma, Wieb; Stevenhagen, Peter: On the computation of quadratic 2-class groups (1996)
  19. Cannon, John; Playoust, Catherine: MAGMA: a new computer algebra system (1996)
  20. Dixon, John D.; Mortimer, Brian: Permutation groups (1996)

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