## 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)