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; Macaulay2; ecdata; LMFDB; GitHub; Mathematica; OEIS; FGb; NTL; MeatAxe; nauty; GAP Character Table Library; CTblLib; CoCoA
Cited in: 3,506 Publications
This software is also referenced in ORMS.
Further Publications: http://magma.maths.usyd.edu.au/magma/citations/
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Cited by 3,308 Authors

74 Conder, Marston Donald Edward
55 Praeger, Cheryl Elisabeth
52 O’Brien, Eamonn A.
48 Feng, Yanquan
45 Zhou, Jinxin
43 Harada, Masaaki
36 Key, Jennifer D.
35 Leemans, Dimitri
35 Spiga, Pablo
28 Crnković, Dean
28 Giudici, Michael
27 Rodrigues, Bernardo Gabriel
27 Siksek, Samir
26 Burness, Timothy C.
26 Holt, Derek F.
26 Marušič, Dragan
25 Solé, Patrick
24 Cossidente, Antonio
23 Kutnar, Klavdija
23 Nebe, Gabriele
22 Moori, Jamshid
21 Kemper, Gregor
21 Voight, John Michael
20 de Graaf, Willem Adriaan
20 Potočnik, Primož
20 Stoll, Michael
20 Švob, Andrea
19 Bartoli, Daniele
19 Leedham-Green, Charles R.
18 Ebert, Gary Lee
18 González-Jiménez, Enrique
18 Kaya, Abidin
18 Li, Caiheng
18 Pan, Jiangmin
18 Rowley, Peter J.
17 Grassl, Markus
17 Hajdu, Lajos
17 Özbudak, Ferruh
17 Roney-Dougal, Colva M.
16 Aydin, Nuh
16 Humphries, Stephen P.
16 Liebeck, Martin Walter
16 Munemasa, Akihiro
16 Schost, Éric
16 Steinwandt, Rainer
16 Xia, Binzhou
15 Cannon, John J.
15 Faugère, Jean-Charles
15 Tonchev, Vladimir D.
15 Yildiz, Bahattin
14 Carlson, Jon Frederick
14 Eick, Bettina
14 Fisher, Tom A.
14 Prakash, Om
14 Sutherland, Andrew V.
14 Tengely, Szabolcs
13 Egan, Ronan
13 Elsenhans, Andreas-Stephan
13 Flannery, Dane Laurence
13 Guralnick, Robert Michael
13 Lewis, Mark L.
13 Malnič, Aleksander
13 Marino, Giuseppe
13 Najman, Filip
13 Pavese, Francesco
13 Rouse, Jeremy A.
13 Stein, William A.
13 Wehlau, David Louis
13 Zhou, Shenglin
12 Devillers, Alice
12 Fish, Washiela
12 Fu, Fangwei
12 Gao, Jian
12 Havas, George
12 Islam, Habibul
12 Kim, Jon-Lark
12 Kovács, István
12 Lee, Yoonjin
12 Marcugini, Stefano
12 Pambianco, Fernanda
12 Shank, R. James
12 Šparl, Primož
12 Ulas, Maciej
11 Balakrishnan, Jennifer S.
11 Bennett, Michael A.
11 Bosma, Wieb
11 Castryck, Wouter
11 Dietrich, Heiko
11 Glasby, Stephen Peter
11 Jahnel, Jörg
11 Mwambene, Eric
11 Parker, Chris W.
11 Prins, Abraham Love
11 Sonnino, Angelo
11 Várilly-Alvarado, Anthony
11 Villanueva, Mercè
10 An, Jianbei
10 Araya, Makoto
10 Artebani, Michela
10 Brooksbank, Peter A.
...and 3,208 more Authors
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Cited in 378 Serials

288 Journal of Algebra
158 Journal of Symbolic Computation
157 Designs, Codes and Cryptography
125 Journal of Number Theory
118 Discrete Mathematics
109 Mathematics of Computation
99 Finite Fields and their Applications
62 Journal of Algebraic Combinatorics
54 Journal of Pure and Applied Algebra
54 Transactions of the American Mathematical Society
52 Journal of Combinatorial Theory. Series A
50 European Journal of Combinatorics
48 Advances in Mathematics of Communications
46 International Journal of Number Theory
45 LMS Journal of Computation and Mathematics
45 Cryptography and Communications
43 Acta Arithmetica
42 Journal de Théorie des Nombres de Bordeaux
37 Applicable Algebra in Engineering, Communication and Computing
34 Communications in Algebra
34 Experimental Mathematics
33 Research in Number Theory
32 Advances in Mathematics
32 The Electronic Journal of Combinatorics
31 Journal of Combinatorial Theory. Series B
31 Proceedings of the American Mathematical Society
31 Graphs and Combinatorics
29 Mathematische Zeitschrift
29 Journal of Group Theory
24 Israel Journal of Mathematics
24 Archiv der Mathematik
22 Journal of Algebra and its Applications
21 Ars Mathematica Contemporanea
18 Discrete Applied Mathematics
18 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 The Ramanujan Journal
15 Mathematics in Computer Science
14 Journal of Cryptology
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 Combinatorial Designs
12 Documenta Mathematica
12 Advances in Geometry
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Periodica Mathematica Hungarica
11 Linear Algebra and its Applications
11 Transformation Groups
11 Journal of Applied Mathematics and Computing
11 ACM Communications in Computer Algebra
11 Science China. Mathematics
11 Forum of Mathematics, Sigma
10 Bulletin of the Australian Mathematical Society
10 Applied Mathematics and Computation
10 Manuscripta Mathematica
10 Mathematische Annalen
10 Proceedings of the London Mathematical Society. Third Series
10 Turkish Journal of Mathematics
10 Journal of Integer Sequences
10 Journal of the Australian Mathematical Society
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 Theoretical Computer Science
9 Journal of Mathematical Cryptology
8 Journal für die Reine und Angewandte Mathematik
8 Discrete & Computational Geometry
8 Glasnik Matematički. Serija III
8 The Australasian Journal of Combinatorics
8 The New York Journal of Mathematics
8 Algebras and Representation Theory
8 Acta Mathematica Sinica. English Series
8 Integers
8 SIAM Journal on Applied Algebra and Geometry
7 Beiträge zur Algebra und Geometrie
7 Duke Mathematical Journal
7 Geometriae Dedicata
7 Journal of Complexity
7 IMRN. International Mathematics Research Notices
7 Journal of High Energy Physics
7 Quantum Information Processing
7 Discrete Mathematics, Algorithms and Applications
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 International Journal of Theoretical Physics
6 Information Processing Letters
6 Functiones et Approximatio. Commentarii Mathematici
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 Revista Matemática Iberoamericana
6 Indagationes Mathematicae. New Series
6 Computational and Applied Mathematics
6 Selecta Mathematica. New Series
6 Journal of the European Mathematical Society (JEMS)
...and 278 more Serials
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Cited in 52 Fields

1,213 Number theory (11-XX)
1,036 Group theory and generalizations (20-XX)
713 Information and communication theory, circuits (94-XX)
689 Combinatorics (05-XX)
685 Algebraic geometry (14-XX)
335 Computer science (68-XX)
215 Commutative algebra (13-XX)
196 Geometry (51-XX)
135 Field theory and polynomials (12-XX)
132 Associative rings and algebras (16-XX)
97 Quantum theory (81-XX)
82 Nonassociative rings and algebras (17-XX)
68 Convex and discrete geometry (52-XX)
59 Manifolds and cell complexes (57-XX)
54 Numerical analysis (65-XX)
50 Linear and multilinear algebra; matrix theory (15-XX)
41 Dynamical systems and ergodic theory (37-XX)
38 Functions of a complex variable (30-XX)
25 Order, lattices, ordered algebraic structures (06-XX)
24 Topological groups, Lie groups (22-XX)
21 Algebraic topology (55-XX)
16 Category theory; homological algebra (18-XX)
16 \(K\)-theory (19-XX)
16 Several complex variables and analytic spaces (32-XX)
14 Special functions (33-XX)
14 Biology and other natural sciences (92-XX)
13 Differential geometry (53-XX)
12 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)

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