swMATH ID: 540
Software Authors: Bosma, W.; Steel, A.; Matthews, G.; Fisher, D.; Cannon, J.; Contini, S.; Smith, B.
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; LMFDB; ATLAS Group Representations; Code Tables; GitHub; Macaulay2; ecdata; Mathematica; OEIS; FGb; CTblLib; ell-adic-galois-images; nauty; NTL; GAP Character Table Library; MeatAxe
Cited in: 4,134 Documents
This software is also referenced in ORMS.
Further Publications: http://magma.maths.usyd.edu.au/magma/citations/
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Cited by 3,783 Authors

81 Conder, Marston Donald Edward
64 Praeger, Cheryl Elisabeth
58 Zhou, Jinxin
56 Feng, Yanquan
55 O’Brien, Eamonn A.
49 Harada, Masaaki
41 Spiga, Pablo
38 Key, Jennifer D.
35 Crnković, Dean
35 Leemans, Dimitri
34 Burness, Timothy C.
33 Solé, Patrick
31 Giudici, Michael
31 Rodrigues, Bernardo Gabriel
30 Voight, John Michael
29 Siksek, Samir
28 Holt, Derek F.
27 Marušič, Dragan
27 Švob, Andrea
25 Cossidente, Antonio
25 Nebe, Gabriele
24 Kutnar, Klavdija
24 Özbudak, Ferruh
23 Aydin, Nuh
23 Stoll, Michael
22 de Graaf, Willem Adriaan
22 Kemper, Gregor
22 Moori, Jamshid
22 Potočnik, Primož
22 Prakash, Om
21 Bartoli, Daniele
21 Gao, Jian
20 Fu, Fangwei
20 Grassl, Markus
20 Kim, Jon-Lark
20 Xia, Binzhou
19 González-Jiménez, Enrique
19 Hajdu, Lajos
19 Humphries, Stephen P.
19 Kaya, Abidin
19 Leedham-Green, Charles R.
19 Li, Caiheng
19 Pan, Jiangmin
19 Roney-Dougal, Colva M.
19 Zhou, Shenglin
18 Ebert, Gary Lee
18 Munemasa, Akihiro
18 Rowley, Peter J.
18 Sutherland, Andrew V.
18 Tonchev, Vladimir D.
17 Devillers, Alice
17 Elsenhans, Andreas-Stephan
17 Guralnick, Robert Michael
17 Islam, Habibul
17 Liebeck, Martin Walter
17 Najman, Filip
17 Pavese, Francesco
17 Schost, Éric
17 Shi, Minjia
16 Korban, Adrian
16 Steinwandt, Rainer
16 Yin, Fugang
15 Cannon, John J.
15 Castryck, Wouter
15 Eick, Bettina
15 Faugère, Jean-Charles
15 Laface, Antonio
15 Marcugini, Stefano
15 Marino, Giuseppe
15 Pambianco, Fernanda
15 Rouse, Jeremy A.
15 Tengely, Szabolcs
15 Villanueva, Mercè
15 Wehlau, David Louis
15 Yildiz, Bahattin
14 Carlson, Jon Frederick
14 Dougherty, Steven T.
14 Fisher, Tom A.
14 Kovács, István
14 Kudo, Momonari
14 Lewis, Mark L.
13 Araya, Makoto
13 Balakrishnan, Jennifer S.
13 Egan, Ronan
13 Fish, Washiela
13 Flannery, Dane Laurence
13 Güneri, Cem
13 Jahnel, Jörg
13 Lee, Yoonjin
13 Malnič, Aleksander
13 Soydan, Gokhan
13 Šparl, Primož
13 Stein, William A.
13 Ulas, Maciej
12 Bennett, Michael A.
12 Dietrich, Heiko
12 Gildea, Joe
12 Glasby, Stephen Peter
12 Havas, George
12 Kida, Masanari
...and 3,683 more Authors
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Cited in 395 Serials

305 Journal of Algebra
191 Designs, Codes and Cryptography
165 Journal of Symbolic Computation
145 Discrete Mathematics
136 Journal of Number Theory
121 Mathematics of Computation
121 Finite Fields and their Applications
72 Journal of Algebraic Combinatorics
63 Advances in Mathematics of Communications
59 Journal of Pure and Applied Algebra
58 Journal of Combinatorial Theory. Series A
57 International Journal of Number Theory
56 Transactions of the American Mathematical Society
53 Cryptography and Communications
52 European Journal of Combinatorics
49 Research in Number Theory
48 Acta Arithmetica
47 Applicable Algebra in Engineering, Communication and Computing
47 Journal de Théorie des Nombres de Bordeaux
45 LMS Journal of Computation and Mathematics
44 Experimental Mathematics
43 Communications in Algebra
37 Advances in Mathematics
35 Graphs and Combinatorics
35 The Electronic Journal of Combinatorics
35 Journal of Group Theory
34 Journal of Combinatorial Theory. Series B
34 Proceedings of the American Mathematical Society
33 Mathematische Zeitschrift
31 Quantum Information Processing
27 Israel Journal of Mathematics
26 Archiv der Mathematik
26 Journal of Algebra and its Applications
24 Bulletin of the London Mathematical Society
24 Ars Mathematica Contemporanea
20 International Journal of Algebra and Computation
20 Journal of Combinatorial Designs
19 Discrete Applied Mathematics
19 Rocky Mountain Journal of Mathematics
18 Journal of the London Mathematical Society. Second Series
18 Journal of Algebra, Combinatorics, Discrete Structures and Applications
17 Journal of Geometry
17 Journal of Applied Mathematics and Computing
17 Mathematics in Computer Science
16 Journal of Cryptology
16 The Ramanujan Journal
16 Advances in Geometry
16 Forum of Mathematics, Sigma
14 Journal of Graph Theory
14 ACM Communications in Computer Algebra
13 Indian Journal of Pure & Applied Mathematics
13 Compositio Mathematica
13 Monatshefte für Mathematik
13 Computational and Applied Mathematics
13 Documenta Mathematica
13 Transformation Groups
12 Bulletin of the Australian Mathematical Society
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Applied Mathematics and Computation
12 Manuscripta Mathematica
12 Proceedings of the London Mathematical Society. Third Series
12 Science China. Mathematics
12 International Journal of Group Theory
11 Periodica Mathematica Hungarica
11 Annales de l’Institut Fourier
11 Mathematische Annalen
11 Glasnik Matematički. Serija III
11 Linear Algebra and its Applications
11 Journal of the Australian Mathematical Society
11 Journal of Mathematical Cryptology
11 SIAM Journal on Applied Algebra and Geometry
10 Expositiones Mathematicae
10 Indagationes Mathematicae. New Series
10 Turkish Journal of Mathematics
10 Journal of Integer Sequences
10 Integers
10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 International Journal of Theoretical Physics
9 Journal für die Reine und Angewandte Mathematik
9 Theoretical Computer Science
9 Revista Matemática Iberoamericana
9 The Australasian Journal of Combinatorics
9 Selecta Mathematica. New Series
9 Journal of High Energy Physics
9 Mediterranean Journal of Mathematics
8 Duke Mathematical Journal
8 Geometriae Dedicata
8 Journal of the Mathematical Society of Japan
8 Discrete & Computational Geometry
8 The New York Journal of Mathematics
8 Algebras and Representation Theory
8 Acta Mathematica Sinica. English Series
8 Discrete Mathematics, Algorithms and Applications
8 Research in the Mathematical Sciences
8 European Journal of Mathematics
8 The Art of Discrete and Applied Mathematics
7 Beiträge zur Algebra und Geometrie
7 Journal of Complexity
7 IMRN. International Mathematics Research Notices
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
...and 295 more Serials
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Cited in 52 Fields

1,457 Number theory (11-XX)
1,193 Group theory and generalizations (20-XX)
889 Information and communication theory, circuits (94-XX)
833 Algebraic geometry (14-XX)
828 Combinatorics (05-XX)
359 Computer science (68-XX)
235 Commutative algebra (13-XX)
224 Geometry (51-XX)
156 Quantum theory (81-XX)
152 Associative rings and algebras (16-XX)
151 Field theory and polynomials (12-XX)
95 Nonassociative rings and algebras (17-XX)
82 Convex and discrete geometry (52-XX)
72 Manifolds and cell complexes (57-XX)
62 Linear and multilinear algebra; matrix theory (15-XX)
58 Numerical analysis (65-XX)
48 Dynamical systems and ergodic theory (37-XX)
44 Functions of a complex variable (30-XX)
26 Order, lattices, ordered algebraic structures (06-XX)
26 Topological groups, Lie groups (22-XX)
26 Algebraic topology (55-XX)
23 Several complex variables and analytic spaces (32-XX)
20 Category theory; homological algebra (18-XX)
16 \(K\)-theory (19-XX)
16 Special functions (33-XX)
15 Biology and other natural sciences (92-XX)
13 Operations research, mathematical programming (90-XX)
12 Differential geometry (53-XX)
10 General and overarching topics; collections (00-XX)
9 Probability theory and stochastic processes (60-XX)
9 Statistics (62-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Partial differential equations (35-XX)
6 Ordinary differential equations (34-XX)
6 Relativity and gravitational theory (83-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Functional analysis (46-XX)
4 Approximations and expansions (41-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)
4 Mathematics education (97-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Mechanics of particles and systems (70-XX)
2 Measure and integration (28-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mechanics of deformable solids (74-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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