×

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/
Source Code:  https://github.com/gap-system/gap
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; OEIS; Maple; Mathematica; LOOPS; GAP Character Table Library; CTblLib; PARI/GP; HAP; Macaulay2; GitHub; MeatAxe; DESIGN
Cited in: 3,668 Documents
This software is also referenced in ORMS.
Further Publications: http://www.gap-system.org/Doc/Bib/bib.html
all top 5

Cited by 3,230 Authors

63 Eick, Bettina
46 Praeger, Cheryl Elisabeth
45 Sambale, Benjamin
43 Tiep Pham Huu
39 Ashrafi, Ali Reza
38 de Graaf, Willem Adriaan
37 Navarro, Gabriel
36 García Sánchez, Pedro A.
35 Cameron, Peter Jephson
35 Zhou, Shenglin
32 O’Brien, Eamonn A.
28 Hulpke, Alexander Jörg
28 Vojtěchovský, Petr
27 Abdollahi, Alireza
24 Linton, Stephen A.
24 Tong-Viet, Hung P.
23 De Bruyn, Bart
23 Delgado, Manuel
23 Moori, Jamshid
23 Yang, Yong
22 Müller, Jürgen
22 Seress, Ákos
21 Konovalov, Olexandr
21 Magaard, Kay
21 Malle, Gunter
21 Röhrle, Gerhard E.
20 Dietrich, Heiko
20 Guralnick, Robert Michael
20 Hiss, Gerhard
18 Bartholdi, Laurent
18 Breuer, Thomas
18 Ellis, Graham J.
18 Holt, Derek F.
18 Maróti, Attila
18 Nagy, Gábor Péter
18 Soicher, Leonard H.
18 Spiga, Pablo
18 Wilson, Robert Arnott
17 Alavi, Seyed Hassan
17 Crnković, Dean
17 Daneshkhah, Ashraf
16 Bächle, Andreas
16 Burness, Timothy C.
16 East, James
16 Felipe, María José
16 Geck, Meinolf
16 Lewis, Mark L.
16 Lübeck, Frank
16 Margolis, Leo
15 Ali, Faryad
15 Bamberg, John
15 Beltrán, Antonio Felip
15 Degtyarev, Alex
15 del Río, Angel
15 Giudici, Michael
15 Hoshi, Akinari
15 Joyner, David
15 Niemeyer, Alice C.
15 Pfeiffer, Götz
15 Shimada, Ichiro
15 Williams, Gerald
14 Alp, Murat
14 Fernandes, Vítor Hugo
14 Goodwin, Simon M.
14 Lucchini, Andrea
14 Mitchell, James D.
14 Monson, Barry
14 Nguyen Ngoc Hung
14 Schneider, Csaba
14 Shpectorov, Sergey Viktorovich
14 Swartz, Eric
13 Esteban-Romero, Ramón
13 Külshammer, Burkhard
13 Mamontov, Andrey S.
13 Mazurov, Viktor Danilovich
13 Neunhöffer, Max
13 Prins, Abraham Love
12 Basheer, Ayoub Basheer Mohammed
12 Bors, Alexander
12 Detinko, Alla S.
12 Dutour-Sikiric, Mathieu
12 Héthelyi, László
12 Klin, Mikhail H.
12 Li, Caiheng
12 Monakhov, Viktor Stepanovich
12 Rosales, José Carlos
12 Vendramin, Leandro
11 Araújo, João
11 Bovdi, Victor A.
11 Flannery, Dane Laurence
11 Himstedt, Frank
11 Horváth, Erzsébet
11 Jabara, Enrico
11 Lavrauw, Michel
11 Lux, Klaus Martin
11 Lytkina, Dar’ya Viktorovna
11 McDonough, Thomas P.
11 Meier, Andreas
11 Moravec, Primož
11 Rees, Sarah
...and 3,130 more Authors
all top 5

Cited in 476 Serials

473 Journal of Algebra
147 Communications in Algebra
107 Discrete Mathematics
99 Journal of Symbolic Computation
86 Journal of Pure and Applied Algebra
82 Journal of Algebra and its Applications
72 Journal of Group Theory
66 Designs, Codes and Cryptography
63 Experimental Mathematics
54 International Journal of Algebra and Computation
49 Israel Journal of Mathematics
47 Journal of Combinatorial Theory. Series A
45 Journal of Algebraic Combinatorics
43 Archiv der Mathematik
42 Mathematics of Computation
41 Transactions of the American Mathematical Society
38 Advances in Mathematics
38 European Journal of Combinatorics
38 International Journal of Group Theory
37 Journal of High Energy Physics
33 Journal of Combinatorial Designs
32 The Electronic Journal of Combinatorics
29 Semigroup Forum
28 Siberian Mathematical Journal
26 Monatshefte für Mathematik
25 LMS Journal of Computation and Mathematics
22 Linear Algebra and its Applications
21 Proceedings of the American Mathematical Society
20 Algebra and Logic
20 Journal of Mathematical Sciences (New York)
19 Journal of Number Theory
19 Applicable Algebra in Engineering, Communication and Computing
19 Algebras and Representation Theory
18 Mathematische Zeitschrift
17 Discrete Applied Mathematics
17 Finite Fields and their Applications
17 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
16 Quaestiones Mathematicae
16 Journal of Knot Theory and its Ramifications
16 Proceedings of the Steklov Institute of Mathematics
15 Bulletin of the London Mathematical Society
15 Manuscripta Mathematica
15 Discrete & Computational Geometry
15 Representation Theory
14 Ars Mathematica Contemporanea
13 Annali di Matematica Pura ed Applicata. Serie Quarta
13 Journal of the London Mathematical Society. Second Series
13 Bulletin of the Iranian Mathematical Society
13 Transformation Groups
12 Rocky Mountain Journal of Mathematics
12 Forum Mathematicum
12 Annals of Combinatorics
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Sibirskie Èlektronnye Matematicheskie Izvestiya
12 Journal of Physics A: Mathematical and Theoretical
11 Bulletin of the Australian Mathematical Society
11 Beiträge zur Algebra und Geometrie
11 Algebraic Combinatorics
10 Theoretical Computer Science
10 Topology and its Applications
10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
10 The Australasian Journal of Combinatorics
10 Journal de Théorie des Nombres de Bordeaux
10 Turkish Journal of Mathematics
10 Journal of Applied Mathematics and Computing
10 Asian-European Journal of Mathematics
9 Proceedings of the London Mathematical Society. Third Series
9 International Journal of Number Theory
9 Advances in Mathematics of Communications
9 Advances in Group Theory and Applications
9 The Art of Discrete and Applied Mathematics
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Nuclear Physics. B
8 Geometriae Dedicata
8 Results in Mathematics
8 Graphs and Combinatorics
8 Algebra Colloquium
8 Algebraic & Geometric Topology
8 Mediterranean Journal of Mathematics
8 International Journal of Algebra
8 Groups, Complexity, Cryptology
7 Communications in Mathematical Physics
7 Indian Journal of Pure & Applied Mathematics
7 Applied Mathematics and Computation
7 Czechoslovak Mathematical Journal
7 Journal of Geometry
7 Michigan Mathematical Journal
7 Indagationes Mathematicae. New Series
7 Journal of Mathematical Chemistry
7 Journal of the Australian Mathematical Society
7 Contributions to Discrete Mathematics
7 ACM Communications in Computer Algebra
7 Science China. Mathematics
7 European Journal of Mathematics
7 Journal of Algebraic Systems
6 Ukrainian Mathematical Journal
6 Canadian Journal of Mathematics
6 Glasgow Mathematical Journal
6 Journal of Graph Theory
6 Journal of Statistical Planning and Inference
...and 376 more Serials
all top 5

Cited in 56 Fields

2,412 Group theory and generalizations (20-XX)
844 Combinatorics (05-XX)
384 Computer science (68-XX)
282 Associative rings and algebras (16-XX)
281 Algebraic geometry (14-XX)
265 Number theory (11-XX)
188 Geometry (51-XX)
176 Nonassociative rings and algebras (17-XX)
158 Manifolds and cell complexes (57-XX)
151 Information and communication theory, circuits (94-XX)
110 Commutative algebra (13-XX)
104 Convex and discrete geometry (52-XX)
93 Quantum theory (81-XX)
70 Field theory and polynomials (12-XX)
68 Algebraic topology (55-XX)
55 Linear and multilinear algebra; matrix theory (15-XX)
54 Category theory; homological algebra (18-XX)
38 Functions of a complex variable (30-XX)
35 Dynamical systems and ergodic theory (37-XX)
35 Numerical analysis (65-XX)
34 Order, lattices, ordered algebraic structures (06-XX)
34 Operations research, mathematical programming (90-XX)
33 Topological groups, Lie groups (22-XX)
32 \(K\)-theory (19-XX)
28 Biology and other natural sciences (92-XX)
26 General and overarching topics; collections (00-XX)
20 Several complex variables and analytic spaces (32-XX)
19 Probability theory and stochastic processes (60-XX)
18 Differential geometry (53-XX)
17 Statistics (62-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 General algebraic systems (08-XX)
13 Mathematical logic and foundations (03-XX)
13 Global analysis, analysis on manifolds (58-XX)
10 History and biography (01-XX)
8 Partial differential equations (35-XX)
8 Functional analysis (46-XX)
8 Relativity and gravitational theory (83-XX)
7 Special functions (33-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Ordinary differential equations (34-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Mechanics of particles and systems (70-XX)
4 Abstract harmonic analysis (43-XX)
4 General topology (54-XX)
4 Mathematics education (97-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
2 Operator theory (47-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Systems theory; control (93-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)

Citations by Year