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 2359 articles , 5 standard articles )

Showing results 21 to 40 of 2359.
Sorted by year (citations)
  1. Dokchitser, Tim; Doris, Christopher: 3-torsion and conductor of genus 2 curves (2019)
  2. Dose, Valerio; Mercuri, Pietro; Stirpe, Claudio: Double covers of Cartan modular curves (2019)
  3. East, James; Egri-Nagy, Attila; Mitchell, James D.; Péresse, Yann: Computing finite semigroups (2019)
  4. Egan, Ronan: Phased unitary Golay pairs, Butson Hadamard matrices and a conjecture of Ito’s (2019)
  5. Elsenhans, Andreas-Stephan; Klüners, Jürgen: Computing subfields of number fields and applications to Galois group computations (2019)
  6. Fawcett, Joanna B.; Müller, Jürgen; O’Brien, E. A.; Wilson, Robert A.: Regular orbits of sporadic simple groups (2019)
  7. Fernández-Córdoba, Cristina; Vela, Carlos; Villanueva, Mercè: On (\mathbbZ_2^s)-linear Hadamard codes: kernel and partial classification (2019)
  8. Fisher, Tom: On some algebras associated to genus one curves (2019)
  9. Gaál, István; Jadrijević, Borka; Remete, László: Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields (2019)
  10. Gemünden, Thomas; Keller, Christoph A.: Orbifolds of lattice vertex operator algebras at (d = 48) and (d = 72) (2019)
  11. Granger, Robert: On the enumeration of irreducible polynomials over (\mathrmGF(q)) with prescribed coefficients (2019)
  12. Guralnick, Robert M.; Liebeck, Martin W.: Permutation representations of nonsplit extensions involving alternating groups (2019)
  13. Hauer, Michael; Jüttler, Bert; Schicho, Josef: Projective and affine symmetries and equivalences of rational and polynomial surfaces (2019)
  14. Hirakawa, Yoshinosuke; Matsumura, Hideki: A unique pair of triangles (2019)
  15. Honold, Thomas; Kiermaier, Michael; Kurz, Sascha: Classification of large partial plane spreads in (\mathrmPG(6,2)) and related combinatorial objects (2019)
  16. Jefferson, Christopher; Pfeiffer, Markus; Waldecker, Rebecca: New refiners for permutation group search (2019)
  17. Karmazyn, Joseph: The length classification of threefold flops via noncommutative algebras (2019)
  18. Kim, Kwang-Seob; Miller, John C.: Class numbers of large degree nonabelian number fields (2019)
  19. Kirschmer, Markus; Nebe, Gabriele: Quaternary quadratic lattices over number fields (2019)
  20. Klagsbrun, Zev; Sherman, Travis; Weigandt, James: The Elkies curve has rank 28 subject only to GRH (2019)

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