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; NTL; nauty; GAP Character Table Library; MeatAxe; CTblLib; CHEVIE
Cited in: 3,755 Documents
This software is also referenced in ORMS.
Further Publications: http://magma.maths.usyd.edu.au/magma/citations/
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Cited by 3,488 Authors

78 Conder, Marston Donald Edward
55 Praeger, Cheryl Elisabeth
53 O’Brien, Eamonn A.
51 Feng, Yanquan
49 Zhou, Jinxin
46 Harada, Masaaki
38 Key, Jennifer D.
35 Leemans, Dimitri
35 Spiga, Pablo
31 Solé, Patrick
30 Crnković, Dean
30 Rodrigues, Bernardo Gabriel
29 Burness, Timothy C.
28 Giudici, Michael
27 Holt, Derek F.
27 Marušič, Dragan
27 Siksek, Samir
25 Cossidente, Antonio
25 Nebe, Gabriele
24 Kutnar, Klavdija
24 Voight, John Michael
22 Moori, Jamshid
22 Švob, Andrea
21 Kemper, Gregor
21 Potočnik, Primož
21 Stoll, Michael
20 Aydin, Nuh
20 Bartoli, Daniele
20 de Graaf, Willem Adriaan
20 Özbudak, Ferruh
20 Prakash, Om
19 González-Jiménez, Enrique
19 Grassl, Markus
19 Kaya, Abidin
19 Leedham-Green, Charles R.
19 Pan, Jiangmin
18 Ebert, Gary Lee
18 Humphries, Stephen P.
18 Li, Caiheng
18 Roney-Dougal, Colva M.
18 Rowley, Peter J.
18 Xia, Binzhou
17 Gao, Jian
17 Hajdu, Lajos
17 Kim, Jon-Lark
17 Tonchev, Vladimir D.
16 Fu, Fangwei
16 Islam, Habibul
16 Liebeck, Martin Walter
16 Munemasa, Akihiro
16 Schost, Éric
16 Steinwandt, Rainer
16 Zhou, Shenglin
15 Cannon, John J.
15 Eick, Bettina
15 Elsenhans, Andreas-Stephan
15 Faugère, Jean-Charles
15 Yildiz, Bahattin
14 Carlson, Jon Frederick
14 Fisher, Tom A.
14 Guralnick, Robert Michael
14 Korban, Adrian
14 Lewis, Mark L.
14 Marcugini, Stefano
14 Marino, Giuseppe
14 Najman, Filip
14 Pambianco, Fernanda
14 Pavese, Francesco
14 Rouse, Jeremy A.
14 Sutherland, Andrew V.
14 Tengely, Szabolcs
14 Wehlau, David Louis
13 Balakrishnan, Jennifer S.
13 Dougherty, Steven T.
13 Egan, Ronan
13 Fish, Washiela
13 Flannery, Dane Laurence
13 Jahnel, Jörg
13 Malnič, Aleksander
13 Šparl, Primož
13 Stein, William A.
12 Araya, Makoto
12 Castryck, Wouter
12 Devillers, Alice
12 Havas, George
12 Kovács, István
12 Laface, Antonio
12 Lee, Yoonjin
12 Morgan, Luke
12 Mwambene, Eric
12 Shank, R. James
12 Shi, Minjia
12 Ulas, Maciej
12 Villanueva, Mercè
11 Bennett, Michael A.
11 Bosma, Wieb
11 Daniels, Harris B.
11 Dietrich, Heiko
11 Gildea, Joe
11 Glasby, Stephen Peter
...and 3,388 more Authors
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Cited in 384 Serials

297 Journal of Algebra
175 Designs, Codes and Cryptography
161 Journal of Symbolic Computation
131 Discrete Mathematics
131 Journal of Number Theory
110 Mathematics of Computation
109 Finite Fields and their Applications
68 Journal of Algebraic Combinatorics
57 Advances in Mathematics of Communications
56 Transactions of the American Mathematical Society
55 Journal of Pure and Applied Algebra
52 Journal of Combinatorial Theory. Series A
52 European Journal of Combinatorics
49 International Journal of Number Theory
48 Cryptography and Communications
45 Acta Arithmetica
45 LMS Journal of Computation and Mathematics
44 Journal de Théorie des Nombres de Bordeaux
43 Applicable Algebra in Engineering, Communication and Computing
41 Experimental Mathematics
41 Research in Number Theory
37 Communications in Algebra
34 Advances in Mathematics
33 Journal of Combinatorial Theory. Series B
33 Proceedings of the American Mathematical Society
33 Graphs and Combinatorics
33 Journal of Group Theory
32 The Electronic Journal of Combinatorics
30 Mathematische Zeitschrift
25 Israel Journal of Mathematics
25 Journal of Algebra and its Applications
24 Archiv der Mathematik
23 Quantum Information Processing
21 Ars Mathematica Contemporanea
19 Discrete Applied Mathematics
19 International Journal of Algebra and Computation
18 Rocky Mountain Journal of Mathematics
18 Journal of Algebra, Combinatorics, Discrete Structures and Applications
16 Mathematics in Computer Science
15 Journal of Geometry
15 The Ramanujan Journal
14 Journal of Cryptology
14 Journal of Applied Mathematics and Computing
14 Forum of Mathematics, Sigma
13 Compositio Mathematica
13 Journal of the London Mathematical Society. Second Series
13 Documenta Mathematica
13 Advances in Geometry
12 Applied Mathematics and Computation
12 Bulletin of the London Mathematical Society
12 Monatshefte für Mathematik
12 Journal of Combinatorial Designs
12 Transformation Groups
11 Indian Journal of Pure & Applied Mathematics
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Periodica Mathematica Hungarica
11 Annales de l’Institut Fourier
11 Manuscripta Mathematica
11 Linear Algebra and its Applications
11 Journal of the Australian Mathematical Society
11 ACM Communications in Computer Algebra
11 Science China. Mathematics
11 International Journal of Group Theory
11 SIAM Journal on Applied Algebra and Geometry
10 Bulletin of the Australian Mathematical Society
10 Mathematische Annalen
10 Proceedings of the London Mathematical Society. Third Series
10 Turkish Journal of Mathematics
10 Journal of Integer Sequences
9 Journal of Graph Theory
9 Journal für die Reine und Angewandte Mathematik
9 Theoretical Computer Science
9 Revista Matemática Iberoamericana
9 Journal of High Energy Physics
9 Integers
9 Journal of Mathematical Cryptology
8 International Journal of Theoretical Physics
8 Duke Mathematical Journal
8 Geometriae Dedicata
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 Mediterranean Journal of Mathematics
8 Discrete Mathematics, Algorithms and Applications
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 Indagationes Mathematicae. New Series
7 Computational and Applied Mathematics
7 Selecta Mathematica. New Series
7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Research in the Mathematical Sciences
6 Information Processing Letters
6 Canadian Mathematical Bulletin
6 Functiones et Approximatio. Commentarii Mathematici
6 Journal of the Mathematical Society of Japan
...and 284 more Serials
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Cited in 52 Fields

1,303 Number theory (11-XX)
1,099 Group theory and generalizations (20-XX)
798 Information and communication theory, circuits (94-XX)
750 Combinatorics (05-XX)
741 Algebraic geometry (14-XX)
347 Computer science (68-XX)
222 Commutative algebra (13-XX)
206 Geometry (51-XX)
142 Field theory and polynomials (12-XX)
142 Associative rings and algebras (16-XX)
135 Quantum theory (81-XX)
88 Nonassociative rings and algebras (17-XX)
72 Convex and discrete geometry (52-XX)
68 Manifolds and cell complexes (57-XX)
56 Numerical analysis (65-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
43 Dynamical systems and ergodic theory (37-XX)
39 Functions of a complex variable (30-XX)
26 Topological groups, Lie groups (22-XX)
24 Order, lattices, ordered algebraic structures (06-XX)
23 Algebraic topology (55-XX)
20 Several complex variables and analytic spaces (32-XX)
18 Category theory; homological algebra (18-XX)
16 Special functions (33-XX)
15 \(K\)-theory (19-XX)
14 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)
8 Probability theory and stochastic processes (60-XX)
8 Statistics (62-XX)
7 Partial differential equations (35-XX)
6 Ordinary differential equations (34-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Functional analysis (46-XX)
5 Relativity and gravitational theory (83-XX)
4 Mathematical logic and foundations (03-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 Approximations and expansions (41-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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