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 1554 articles , 4 standard articles )

Showing results 1 to 20 of 1554.
Sorted by year (citations)

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  1. Lakeland, Grant S.: Equivalent trace sets for arithmetic Fuchsian groups (2017)
  2. Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A.: Linear algebra software for large-scale accelerated multicore computing (2016)
  3. Alaa, Mohamed; Sadek, Mohammad: On geometric progressions on hyperelliptic curves (2016)
  4. An, Jianbei; Dietrich, Heiko: Maximal 2-local subgroups of $E_7(q)$. (2016)
  5. Anni, Samuele; Lemos, Pedro; Siksek, Samir: Residual representations of semistable principally polarized abelian varieties (2016)
  6. Antončič, Iva; Šparl, Primož: Classification of quartic half-arc-transitive weak metacirculants of girth at most 4 (2016)
  7. Artebani, Michela; Comparin, Paola; Guilbot, Robin: Families of Calabi-Yau hypersurfaces in $\mathbb Q$-Fano toric varieties (2016)
  8. Artebani, Michela; Garbagnati, Alice; Laface, Antonio: Cox rings of extremal rational elliptic surfaces (2016)
  9. Averkov, Gennadiy; Langfeld, Barbara: Homometry and direct-sum decompositions of lattice-convex sets (2016)
  10. Azizi, Abdelmalek; Talbi, Mohamed; Talbi, Mohammed; Derhem, Aïssa; Mayer, Daniel C.: The group Gal$(k_3^(2)|k)$ for $k=\mathbb Q(\sqrt-3,\sqrtd)$ of type $(3,3)$ (2016)
  11. Bächle, Andreas; Caicedo, Mauricio; Van Gelder, Inneke: A classification of exceptional components in group algebras over abelian number fields (2016)
  12. Bartel, Alex; Dokchitser, Tim: Rational representations and permutation representations of finite groups. (2016)
  13. Barwick, S.G.; Jackson, Wen-Ai: Exterior splashes and linear sets of rank 3 (2016)
  14. Bauch, Jens-Dietrich: Computation of integral bases (2016)
  15. Bérczes, A.; Hajdu, L.; Miyazaki, T.; Pink, I.: On the equation $1^k+2^k+\cdots +x^k=y^n$ for fixed $x$ (2016)
  16. Bérczes, Attila; Luca, Florian; Pink, István; Ziegler, Volker: Finiteness results for Diophantine triples with repdigit values (2016)
  17. Billerey, Nicolas; Menares, Ricardo: On the modularity of reducible $\mathrmmod\ l$ Galois representations (2016)
  18. Böhm, Janko; Decker, Wolfram; Keicher, Simon; Ren, Yue: Current challenges in developing open source computer algebra systems (2016)
  19. Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren: Lattices from Hermitian function fields (2016)
  20. Braun, Michael; Kiermaier, Michael; Nakić, Anamari: On the automorphism group of a binary $q$-analog of the Fano plane (2016)

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