swMATH ID: 540
Software Authors: W. Bosma, A. Steel, G. Matthews, D. Fisher, J. Cannon, S. Contini, B. Smith
Description: 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.
Homepage: http://magma.maths.usyd.edu.au/magma/
Keywords: orms
Related Software: GAP; SageMath; PARI/GP; SINGULAR; Maple; Code Tables; ATLAS Group Representations; ecdata; Macaulay2; Mathematica; LMFDB; GitHub; OEIS; FGb; NTL; MeatAxe; nauty; GAP Character Table Library; CTblLib; CoCoA
Referenced in: 3,357 Publications
This software is also referenced in ORMS.
Further Publications: http://magma.maths.usyd.edu.au/magma/citations/
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Referenced by 3,170 Authors

71 Conder, Marston D. E.
54 Praeger, Cheryl Elisabeth
52 O’Brien, Eamonn A.
48 Feng, Yanquan
43 Zhou, Jinxin
42 Harada, Masaaki
35 Key, Jennifer D.
35 Spiga, Pablo
34 Leemans, Dimitri
27 Crnković, Dean
27 Giudici, Michael
27 Rodrigues, Bernardo Gabriel
26 Marušič, Dragan
25 Holt, Derek F.
25 Siksek, Samir
24 Cossidente, Antonio
24 Solé, Patrick
23 Burness, Timothy C.
23 Kutnar, Klavdija
23 Nebe, Gabriele
21 Kemper, Gregor
21 Moori, Jamshid
20 de Graaf, Willem Adriaan
20 Potočnik, Primož
20 Švob, Andrea
19 Bartoli, Daniele
19 Leedham-Green, Charles R.
19 Stoll, Michael
19 Voight, John Michael
18 Ebert, Gary Lee
18 González-Jiménez, Enrique
18 Li, Caiheng
17 Grassl, Markus
17 Hajdu, Lajos
17 Kaya, Abidin
17 Özbudak, Ferruh
17 Pan, Jiangmin
16 Humphries, Stephen P.
16 Liebeck, Martin Walter
16 Munemasa, Akihiro
16 Roney-Dougal, Colva M.
16 Schost, Éric
16 Steinwandt, Rainer
15 Aydin, Nuh
15 Cannon, John J.
15 Faugère, Jean-Charles
15 Rowley, Peter J.
15 Tonchev, Vladimir D.
15 Yildiz, Bahattin
14 Carlson, Jon Frederick
14 Eick, Bettina
14 Tengely, Szabolcs
14 Xia, Binzhou
13 Egan, Ronan
13 Fisher, Tom A.
13 Flannery, Dane Laurence
13 Guralnick, Robert Michael
13 Lewis, Mark L.
13 Malnič, Aleksander
13 Marino, Giuseppe
13 Najman, Filip
13 Prakash, Om
13 Stein, William A.
13 Zhou, Shenglin
12 Fish, Washiela
12 Fu, Fangwei
12 Gao, Jian
12 Havas, George
12 Kim, Jon-Lark
12 Kovács, István
12 Marcugini, Stefano
12 Pambianco, Fernanda
12 Pavese, Francesco
12 Rouse, Jeremy A.
12 Shank, R. James
12 Šparl, Primož
12 Sutherland, Andrew V.
12 Ulas, Maciej
12 Wehlau, David Louis
11 Devillers, Alice
11 Dietrich, Heiko
11 Elsenhans, Andreas-Stephan
11 Islam, Habibul
11 Lee, Yoonjin
11 Mwambene, Eric
11 Prins, Abraham Love
11 Sonnino, Angelo
11 Várilly-Alvarado, Anthony
11 Villanueva, Mercè
10 An, Jianbei
10 Araya, Makoto
10 Artebani, Michela
10 Balakrishnan, Jennifer S.
10 Bennett, Michael A.
10 Bosma, Wieb
10 Brooksbank, Peter A.
10 Dougherty, Steven T.
10 Kirschmer, Markus
10 Mellinger, Keith E.
10 Mignotte, Maurice
...and 3,070 more Authors
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Referenced in 367 Serials

281 Journal of Algebra
154 Designs, Codes and Cryptography
153 Journal of Symbolic Computation
123 Journal of Number Theory
114 Discrete Mathematics
102 Mathematics of Computation
96 Finite Fields and their Applications
62 Journal of Algebraic Combinatorics
53 Transactions of the American Mathematical Society
52 Journal of Pure and Applied Algebra
51 Journal of Combinatorial Theory. Series A
50 European Journal of Combinatorics
47 Advances in Mathematics of Communications
45 LMS Journal of Computation and Mathematics
44 International Journal of Number Theory
42 Cryptography and Communications
41 Journal de Théorie des Nombres de Bordeaux
40 Acta Arithmetica
36 Applicable Algebra in Engineering, Communication and Computing
34 Communications in Algebra
32 Experimental Mathematics
32 The Electronic Journal of Combinatorics
31 Proceedings of the American Mathematical Society
30 Graphs and Combinatorics
29 Advances in Mathematics
29 Journal of Combinatorial Theory. Series B
27 Mathematische Zeitschrift
26 Journal of Group Theory
24 Archiv der Mathematik
23 Israel Journal of Mathematics
22 Journal of Algebra and its Applications
21 Ars Mathematica Contemporanea
21 Research in Number Theory
18 Discrete Applied Mathematics
17 Rocky Mountain Journal of Mathematics
17 International Journal of Algebra and Computation
17 Journal of Algebra, Combinatorics, Discrete Structures and Applications
15 Journal of Geometry
15 Mathematics in Computer Science
14 The Ramanujan Journal
13 Journal of the London Mathematical Society. Second Series
12 Bulletin of the London Mathematical Society
12 Compositio Mathematica
12 Monatshefte für Mathematik
12 Journal of Cryptology
12 Journal of Combinatorial Designs
12 Documenta Mathematica
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Periodica Mathematica Hungarica
11 Transformation Groups
11 Advances in Geometry
11 Science China. Mathematics
10 Bulletin of the Australian Mathematical Society
10 Applied Mathematics and Computation
10 Mathematische Annalen
10 Linear Algebra and its Applications
10 Journal of Integer Sequences
10 Journal of the Australian Mathematical Society
10 ACM Communications in Computer Algebra
10 International Journal of Group Theory
9 Indian Journal of Pure & Applied Mathematics
9 Annales de l’Institut Fourier
9 Journal of Graph Theory
9 Manuscripta Mathematica
9 Proceedings of the London Mathematical Society. Third Series
9 Theoretical Computer Science
9 Journal of Applied Mathematics and Computing
9 Journal of Mathematical Cryptology
9 Forum of Mathematics, Sigma
8 Journal für die Reine und Angewandte Mathematik
8 Discrete & Computational Geometry
8 Glasnik Matematički. Serija III
8 The New York Journal of Mathematics
8 Algebras and Representation Theory
8 Acta Mathematica Sinica. English Series
7 Beiträge zur Algebra und Geometrie
7 Duke Mathematical Journal
7 Geometriae Dedicata
7 IMRN. International Mathematics Research Notices
7 The Australasian Journal of Combinatorics
7 Integers
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 SIAM Journal on Applied Algebra and Geometry
6 International Journal of Theoretical Physics
6 Information Processing Letters
6 Journal of the Mathematical Society of Japan
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Proceedings of the Japan Academy. Series A
6 Bulletin of the Korean Mathematical Society
6 Journal of Complexity
6 Revista Matemática Iberoamericana
6 Indagationes Mathematicae. New Series
6 Selecta Mathematica. New Series
6 Journal of the European Mathematical Society (JEMS)
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Contributions to Discrete Mathematics
6 Algebra & Number Theory
6 Discrete Mathematics, Algorithms and Applications
5 IEEE Transactions on Information Theory
5 ACM Transactions on Mathematical Software
...and 267 more Serials
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Referenced in 52 Fields

1,139 Number theory (11-XX)
1,001 Group theory and generalizations (20-XX)
679 Information and communication theory, circuits (94-XX)
670 Combinatorics (05-XX)
641 Algebraic geometry (14-XX)
328 Computer science (68-XX)
210 Commutative algebra (13-XX)
192 Geometry (51-XX)
131 Field theory and polynomials (12-XX)
126 Associative rings and algebras (16-XX)
84 Quantum theory (81-XX)
79 Nonassociative rings and algebras (17-XX)
64 Convex and discrete geometry (52-XX)
59 Manifolds and cell complexes (57-XX)
53 Numerical analysis (65-XX)
48 Linear and multilinear algebra; matrix theory (15-XX)
38 Functions of a complex variable (30-XX)
38 Dynamical systems and ergodic theory (37-XX)
24 Order, lattices, ordered algebraic structures (06-XX)
24 Topological groups, Lie groups (22-XX)
19 Algebraic topology (55-XX)
15 Category theory; homological algebra (18-XX)
15 \(K\)-theory (19-XX)
15 Several complex variables and analytic spaces (32-XX)
14 Special functions (33-XX)
14 Biology and other natural sciences (92-XX)
11 Differential geometry (53-XX)
11 Operations research, mathematical programming (90-XX)
9 General and overarching topics; collections (00-XX)
8 Probability theory and stochastic processes (60-XX)
8 Statistics (62-XX)
6 Ordinary differential equations (34-XX)
6 Partial differential equations (35-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Functional analysis (46-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Relativity and gravitational theory (83-XX)
4 Fluid mechanics (76-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 History and biography (01-XX)
3 Mechanics of particles and systems (70-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
2 Measure and integration (28-XX)
2 Approximations and expansions (41-XX)
2 Mechanics of deformable solids (74-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)
1 Systems theory; control (93-XX)

Referencing Publications by Year