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; GitHub; LMFDB; Macaulay2; ecdata; Mathematica; OEIS; FGb; ell-adic-galois-images; NTL; nauty; GAP Character Table Library; MeatAxe; CHEVIE
Cited in: 4,007 Documents
This software is also referenced in ORMS.
Further Publications: http://magma.maths.usyd.edu.au/magma/citations/
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Cited by 3,701 Authors

81 Conder, Marston Donald Edward
59 Praeger, Cheryl Elisabeth
56 Zhou, Jinxin
55 Feng, Yanquan
54 O’Brien, Eamonn A.
47 Harada, Masaaki
40 Spiga, Pablo
38 Key, Jennifer D.
35 Leemans, Dimitri
34 Crnković, Dean
32 Burness, Timothy C.
32 Solé, Patrick
31 Rodrigues, Bernardo Gabriel
30 Giudici, Michael
28 Holt, Derek F.
28 Siksek, Samir
27 Marušič, Dragan
27 Voight, John Michael
26 Švob, Andrea
25 Cossidente, Antonio
25 Nebe, Gabriele
24 Kutnar, Klavdija
23 Aydin, Nuh
23 Özbudak, Ferruh
22 Kemper, Gregor
22 Moori, Jamshid
22 Potočnik, Primož
22 Stoll, Michael
21 de Graaf, Willem Adriaan
21 Gao, Jian
20 Bartoli, Daniele
20 Fu, Fangwei
20 Grassl, Markus
20 Prakash, Om
20 Xia, Binzhou
19 González-Jiménez, Enrique
19 Kaya, Abidin
19 Kim, Jon-Lark
19 Leedham-Green, Charles R.
19 Li, Caiheng
19 Pan, Jiangmin
19 Zhou, Shenglin
18 Ebert, Gary Lee
18 Hajdu, Lajos
18 Humphries, Stephen P.
18 Roney-Dougal, Colva M.
18 Rowley, Peter J.
18 Tonchev, Vladimir D.
17 Najman, Filip
17 Pavese, Francesco
17 Schost, Éric
17 Shi, Minjia
17 Sutherland, Andrew V.
16 Elsenhans, Andreas-Stephan
16 Islam, Habibul
16 Liebeck, Martin Walter
16 Munemasa, Akihiro
16 Steinwandt, Rainer
15 Cannon, John J.
15 Castryck, Wouter
15 Devillers, Alice
15 Eick, Bettina
15 Faugère, Jean-Charles
15 Guralnick, Robert Michael
15 Korban, Adrian
15 Marcugini, Stefano
15 Pambianco, Fernanda
15 Rouse, Jeremy A.
15 Wehlau, David Louis
15 Yildiz, Bahattin
14 Carlson, Jon Frederick
14 Dougherty, Steven T.
14 Fisher, Tom A.
14 Kudo, Momonari
14 Laface, Antonio
14 Lewis, Mark L.
14 Marino, Giuseppe
14 Tengely, Szabolcs
14 Yin, Fugang
13 Balakrishnan, Jennifer S.
13 Egan, Ronan
13 Fish, Washiela
13 Flannery, Dane Laurence
13 Jahnel, Jörg
13 Malnič, Aleksander
13 Šparl, Primož
13 Stein, William A.
13 Villanueva, Mercè
12 Araya, Makoto
12 Bennett, Michael A.
12 Glasby, Stephen Peter
12 Güneri, Cem
12 Havas, George
12 Kovács, István
12 Lee, Yoonjin
12 Morgan, Luke
12 Mwambene, Eric
12 Prins, Abraham Love
12 Shank, R. James
12 Ulas, Maciej
...and 3,601 more Authors
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Cited in 392 Serials

303 Journal of Algebra
179 Designs, Codes and Cryptography
164 Journal of Symbolic Computation
141 Discrete Mathematics
133 Journal of Number Theory
116 Finite Fields and their Applications
115 Mathematics of Computation
71 Journal of Algebraic Combinatorics
59 Advances in Mathematics of Communications
58 Journal of Pure and Applied Algebra
56 Transactions of the American Mathematical Society
55 Journal of Combinatorial Theory. Series A
54 International Journal of Number Theory
53 Cryptography and Communications
52 European Journal of Combinatorics
47 Acta Arithmetica
46 Applicable Algebra in Engineering, Communication and Computing
46 Journal de Théorie des Nombres de Bordeaux
45 LMS Journal of Computation and Mathematics
44 Experimental Mathematics
44 Research in Number Theory
41 Communications in Algebra
36 Advances in Mathematics
35 Journal of Group Theory
34 Journal of Combinatorial Theory. Series B
34 Graphs and Combinatorics
34 The Electronic Journal of Combinatorics
33 Proceedings of the American Mathematical Society
31 Mathematische Zeitschrift
28 Quantum Information Processing
26 Israel Journal of Mathematics
26 Archiv der Mathematik
26 Journal of Algebra and its Applications
24 Ars Mathematica Contemporanea
23 Bulletin of the London Mathematical Society
20 International Journal of Algebra and Computation
19 Discrete Applied Mathematics
19 Rocky Mountain Journal of Mathematics
18 Journal of Algebra, Combinatorics, Discrete Structures and Applications
17 Journal of Geometry
17 Journal of the London Mathematical Society. Second Series
17 Journal of Combinatorial Designs
17 Mathematics in Computer Science
16 Journal of Cryptology
16 Journal of Applied Mathematics and Computing
16 Forum of Mathematics, Sigma
15 The Ramanujan Journal
14 Journal of Graph Theory
14 Advances in Geometry
13 Indian Journal of Pure & Applied Mathematics
13 Compositio Mathematica
13 Monatshefte für Mathematik
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 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 ACM Communications in Computer Algebra
11 Science China. Mathematics
11 SIAM Journal on Applied Algebra and Geometry
10 Computational and Applied Mathematics
10 Turkish Journal of Mathematics
10 Journal of Integer Sequences
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 Expositiones Mathematicae
9 The Australasian Journal of Combinatorics
9 Selecta Mathematica. New Series
9 Journal of High Energy Physics
9 Integers
8 Duke Mathematical Journal
8 Geometriae Dedicata
8 Discrete & Computational Geometry
8 The New York Journal of Mathematics
8 Algebras and Representation Theory
8 Acta Mathematica Sinica. English Series
8 Mediterranean Journal of Mathematics
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 the Mathematical Society of Japan
7 Journal of Complexity
7 IMRN. International Mathematics Research Notices
7 Indagationes Mathematicae. New Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
...and 292 more Serials
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Cited in 52 Fields

1,405 Number theory (11-XX)
1,174 Group theory and generalizations (20-XX)
854 Information and communication theory, circuits (94-XX)
810 Algebraic geometry (14-XX)
802 Combinatorics (05-XX)
354 Computer science (68-XX)
232 Commutative algebra (13-XX)
219 Geometry (51-XX)
149 Associative rings and algebras (16-XX)
148 Field theory and polynomials (12-XX)
148 Quantum theory (81-XX)
93 Nonassociative rings and algebras (17-XX)
78 Convex and discrete geometry (52-XX)
73 Manifolds and cell complexes (57-XX)
58 Linear and multilinear algebra; matrix theory (15-XX)
57 Numerical analysis (65-XX)
47 Dynamical systems and ergodic theory (37-XX)
43 Functions of a complex variable (30-XX)
26 Topological groups, Lie groups (22-XX)
25 Algebraic topology (55-XX)
24 Order, lattices, ordered algebraic structures (06-XX)
23 Several complex variables and analytic spaces (32-XX)
20 Category theory; homological algebra (18-XX)
16 Special functions (33-XX)
15 \(K\)-theory (19-XX)
15 Biology and other natural sciences (92-XX)
13 Differential geometry (53-XX)
12 Operations research, mathematical programming (90-XX)
10 General and overarching topics; collections (00-XX)
9 Probability theory and stochastic processes (60-XX)
9 Statistics (62-XX)
7 Partial differential equations (35-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Ordinary differential equations (34-XX)
6 Relativity and gravitational theory (83-XX)
5 Mathematical logic and foundations (03-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)
3 History and biography (01-XX)
3 Mechanics of particles and systems (70-XX)
3 Mathematics education (97-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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