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 3081 to 3100 of 3296.
Sorted by year (citations)

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  1. Geiselmann, Willi; Meier, Willi; Steinwandt, Rainer: An attach on the isomorphisms of polynomials problem with one secret (2003) ioport
  2. González Vasco, María Isabel; Rötteler, Martin; Steinwandt, Rainer: On minimal length factorizations of finite groups (2003)
  3. Gottschalk, Harald; Leemans, Dimitri: Geometries for the group PSL((3,4)) (2003)
  4. Heß, Florian; Pauli, Sebastian; Pohst, Michael E.: Computing the multiplicative group of residue class rings (2003)
  5. Howe, Everett W.; Lauter, Kristin E.: Improved upper bounds for the number of points on curves over finite fields. (2003)
  6. Humphries, Stephen P.: Finite Hurwitz braid group actions on sequences of Euclidean reflections. (2003)
  7. Kemper, Gregor: Computing invariants of reductive groups in positive characteristic (2003)
  8. Kim, Jon-Lark; Mellinger, Keith E.; Pless, Vera: Projections of binary linear codes onto larger fields (2003)
  9. Klappenecker, Andreas; Rötteler, Martin: Unitary error bases: constructions, equivalence, and applications (2003)
  10. Kohel, David R.; Verrill, Helena A.: Fundamental domains for Shimura curves. (2003)
  11. Kratzer, M.; Lempken, W.; Michler, G. O.; Waki, Katsushi: Another existence and uniqueness proof for McLaughlin’s simple group. (2003)
  12. Lecerf, Grégoire: Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers (2003)
  13. Leemans, Dimitri: The residually weakly primitive geometries of (M_22) (2003)
  14. Lux, Klaus M.; Szőke, Magdolna: Computing homomorphism spaces between modules over finite dimensional algebras. (2003)
  15. Marušič, Dragan: On 2-arc-transitivity of Cayley graphs (2003)
  16. Nebe, Gabriele: Even lattices with covering radius (< \sqrt2) (2003)
  17. Norton, G. H.; Salagean, A.: Cyclic codes and minimal strong Gröbner bases over a principal ideal ring. (2003)
  18. Petrenko, B. V.: On the sum of two primitive elements of maximal subfields of a finite field. (2003)
  19. Petrenko, B. V.: On the product of two primitive elements of maximal subfields of a finite field (2003)
  20. Roney-Dougal, Colva M.; Unger, William R.: The affine primitive permutation groups of degree less than 1000. (2003)

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