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GAP

swMATH ID: 320
Software Authors: GAP Group
Description: GAP is a system for computational discrete algebra, with particular emphasis on Computational Group Theory. GAP provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language as well as large data libraries of algebraic objects. See also the overview and the description of the mathematical capabilities. GAP is used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, and more. The system, including source, is distributed freely. You can study and easily modify or extend it for your special use. Computer algebra system (CAS).
Homepage: https://www.gap-system.org/
Operating Systems: Linux, Unix, Mac OS X, Windows
Keywords: orms; type system; method selection; CAS
Related Software: Magma; SageMath; ATLAS Group Representations; CHEVIE; nauty; GRAPE; numericalsgps; SINGULAR; Maple; OEIS; Mathematica; GAP Character Table Library; CTblLib; LOOPS; HAP; PARI/GP; MeatAxe; Macaulay2; GitHub; Mace4
Cited in: 3,228 Publications
This software is also referenced in ORMS.
Further Publications: http://www.gap-system.org/Doc/Bib/bib.html
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Cited by 2,869 Authors

60 Eick, Bettina
44 Praeger, Cheryl Elisabeth
39 Sambale, Benjamin
38 Tiep Pham Huu
35 Ashrafi, Ali Reza
33 de Graaf, Willem Adriaan
31 García Sánchez, Pedro A.
30 Cameron, Peter Jephson
30 Navarro, Gabriel
30 O’Brien, Eamonn A.
27 Zhou, Shenglin
26 Vojtěchovský, Petr
25 Hulpke, Alexander Jörg
24 Tong-Viet, Hung P.
23 Abdollahi, Alireza
23 Delgado, Manuel
23 Moori, Jamshid
22 Müller, Jürgen
22 Seress, Ákos
21 De Bruyn, Bart
21 Konovalov, Olexandr
21 Magaard, Kay
21 Röhrle, Gerhard E.
21 Yang, Yong
20 Hiss, Gerhard
18 Breuer, Thomas
18 Dietrich, Heiko
18 Ellis, Graham J.
18 Nagy, Gábor Péter
18 Wilson, Robert Arnott
17 Guralnick, Robert Michael
17 Malle, Gunter
17 Maróti, Attila
17 Soicher, Leonard H.
17 Spiga, Pablo
16 Holt, Derek F.
15 Ali, Faryad
15 Bamberg, John
15 Bartholdi, Laurent
15 Geck, Meinolf
15 Joyner, David
15 Lewis, Mark L.
15 Lübeck, Frank
15 Niemeyer, Alice C.
15 Pfeiffer, Götz
14 Alp, Murat
14 Bächle, Andreas
14 Burness, Timothy C.
14 Goodwin, Simon M.
14 Linton, Steve A.
14 Margolis, Leo
14 Mitchell, James D.
13 Alavi, Seyed Hassan
13 Beltrán, Antonio Felip
13 Daneshkhah, Ashraf
13 Degtyarev, Alex
13 Felipe, María José
13 Giudici, Michael
13 Külshammer, Burkhard
13 Mamontov, Andrey S.
13 Mazurov, Viktor Danilovich
13 Monson, Barry
13 Neunhöffer, Max
13 Schneider, Csaba
13 Shpectorov, Sergey Viktorovich
13 Swartz, Eric
13 Williams, Gerald
12 Crnković, Dean
12 East, James
12 Héthelyi, László
12 Hoshi, Akinari
12 Klin, Mikhail H.
12 Li, Caiheng
12 Liu, Yanjun
12 Nguyen Ngoc Hung
12 Prins, Abraham Love
12 Rosales, José Carlos
12 Vendramin, Leandro
11 Araújo, João
11 Bovdi, Victor A.
11 del Río, Angel
11 Dutour-Sikiric, Mathieu
11 Esteban-Romero, Ramón
11 Himstedt, Frank
11 Jabara, Enrico
11 Lux, Klaus Martin
11 Lytkina, Dar’ya Viktorovna
11 McDonough, Thomas P.
11 Meier, Andreas
11 Shimada, Ichiro
11 Sorge, Volker
10 Bessenrodt, Christine
10 Bors, Alexander
10 Cohen, Arjeh Marcel
10 Detinko, Alla S.
10 Fernandes, Vítor H.
10 Hartley, Michael Ian
10 Havas, George
10 Horváth, Erzsébet
10 Kinyon, Michael K.
...and 2,769 more Authors
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Cited in 447 Serials

444 Journal of Algebra
130 Communications in Algebra
95 Discrete Mathematics
95 Journal of Symbolic Computation
73 Journal of Pure and Applied Algebra
68 Journal of Algebra and its Applications
60 Designs, Codes and Cryptography
59 Journal of Group Theory
58 Experimental Mathematics
48 International Journal of Algebra and Computation
47 Israel Journal of Mathematics
41 Journal of Combinatorial Theory. Series A
40 Journal of Algebraic Combinatorics
39 Transactions of the American Mathematical Society
37 Mathematics of Computation
37 Archiv der Mathematik
35 European Journal of Combinatorics
34 Advances in Mathematics
32 International Journal of Group Theory
30 The Electronic Journal of Combinatorics
26 Siberian Mathematical Journal
25 LMS Journal of Computation and Mathematics
24 Monatshefte für Mathematik
24 Semigroup Forum
21 Proceedings of the American Mathematical Society
21 Linear Algebra and its Applications
21 Journal of Combinatorial Designs
20 Journal of High Energy Physics
19 Algebra and Logic
18 Journal of Number Theory
18 Journal of Mathematical Sciences (New York)
18 Algebras and Representation Theory
17 Discrete Applied Mathematics
17 Mathematische Zeitschrift
16 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
15 Manuscripta Mathematica
15 Applicable Algebra in Engineering, Communication and Computing
15 Journal of Knot Theory and its Ramifications
15 Proceedings of the Steklov Institute of Mathematics
14 Discrete & Computational Geometry
14 Finite Fields and their Applications
12 Rocky Mountain Journal of Mathematics
12 Transformation Groups
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Beiträge zur Algebra und Geometrie
11 Representation Theory
11 Sibirskie Èlektronnye Matematicheskie Izvestiya
10 Bulletin of the Australian Mathematical Society
10 Quaestiones Mathematicae
10 Theoretical Computer Science
10 Topology and its Applications
10 Forum Mathematicum
10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
10 Annals of Combinatorics
10 Journal of Applied Mathematics and Computing
10 Asian-European Journal of Mathematics
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Bulletin of the London Mathematical Society
9 Journal of the London Mathematical Society. Second Series
9 Proceedings of the London Mathematical Society. Third Series
9 The Australasian Journal of Combinatorics
9 Journal de Théorie des Nombres de Bordeaux
9 Turkish Journal of Mathematics
9 International Journal of Number Theory
9 Ars Mathematica Contemporanea
8 Nuclear Physics. B
8 Geometriae Dedicata
8 Bulletin of the Iranian Mathematical Society
8 Algebra Colloquium
8 Algebraic & Geometric Topology
8 International Journal of Algebra
8 Advances in Mathematics of Communications
8 Groups, Complexity, Cryptology
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Applied Mathematics and Computation
7 Journal of Geometry
7 Michigan Mathematical Journal
7 Journal of Mathematical Chemistry
7 ACM Communications in Computer Algebra
7 Science China. Mathematics
7 Journal of Algebraic Systems
6 Communications in Mathematical Physics
6 Indian Journal of Pure & Applied Mathematics
6 Journal of Statistical Planning and Inference
6 Results in Mathematics
6 Advances in Applied Mathematics
6 Graphs and Combinatorics
6 Revista Matemática Iberoamericana
6 Indagationes Mathematicae. New Series
6 Izvestiya: Mathematics
6 Central European Journal of Mathematics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Contributions to Discrete Mathematics
6 International Mathematical Forum
6 Advances in Group Theory and Applications
6 Algebraic Combinatorics
6 The Art of Discrete and Applied Mathematics
5 Mathematical Notes
5 Canadian Journal of Mathematics
5 Commentationes Mathematicae Universitatis Carolinae
...and 347 more Serials
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Cited in 55 Fields

2,110 Group theory and generalizations (20-XX)
725 Combinatorics (05-XX)
365 Computer science (68-XX)
261 Associative rings and algebras (16-XX)
245 Algebraic geometry (14-XX)
230 Number theory (11-XX)
166 Geometry (51-XX)
156 Nonassociative rings and algebras (17-XX)
144 Manifolds and cell complexes (57-XX)
132 Information and communication theory, circuits (94-XX)
96 Commutative algebra (13-XX)
94 Convex and discrete geometry (52-XX)
63 Field theory and polynomials (12-XX)
61 Algebraic topology (55-XX)
59 Quantum theory (81-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
48 Category theory; homological algebra (18-XX)
36 Functions of a complex variable (30-XX)
34 Dynamical systems and ergodic theory (37-XX)
32 Order, lattices, ordered algebraic structures (06-XX)
32 Operations research, mathematical programming (90-XX)
31 Numerical analysis (65-XX)
30 \(K\)-theory (19-XX)
26 Topological groups, Lie groups (22-XX)
25 Biology and other natural sciences (92-XX)
24 General and overarching topics; collections (00-XX)
17 Several complex variables and analytic spaces (32-XX)
16 Differential geometry (53-XX)
16 Probability theory and stochastic processes (60-XX)
15 General algebraic systems (08-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Statistics (62-XX)
13 Global analysis, analysis on manifolds (58-XX)
11 Mathematical logic and foundations (03-XX)
9 History and biography (01-XX)
8 Partial differential equations (35-XX)
7 Special functions (33-XX)
7 Functional analysis (46-XX)
6 Ordinary differential equations (34-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Relativity and gravitational theory (83-XX)
4 General topology (54-XX)
4 Mathematics education (97-XX)
3 Measure and integration (28-XX)
3 Abstract harmonic analysis (43-XX)
3 Mechanics of particles and systems (70-XX)
2 Real functions (26-XX)
2 Operator theory (47-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Systems theory; control (93-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)

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