SmallGroups Library swMATH ID: 8620 Software Authors: Besche, Hans Ulrich; Eick, Bettina; O'Brien, Eamonn Description: The SmallGroups Library: This library has the status of an accepted GAP package, communicated in January 2002 by Mike F. Newman, Canberra. The SmallGroups Library contains all groups of certain ’small’ orders. The word ’Small’ is used to mean orders less than a certain bound and orders whose prime factorisation is small in some sense. The groups are sorted by their orders and they are listed up to isomorphism; that is, for each of the available orders a complete and irredundant list of isomorphism type representatives of groups is given. Currently, the library contains the following groups: ... Homepage: http://www.gap-system.org/Packages/sgl.html Dependencies: GAP Related Software: GAP; Magma; ANUPQ; PARI/GP; GitHub; GroupExt; SymbCompCC; cgroups; AutPGrp; OEIS; SageMath; SUtree; Mathematica; Cubefree; LMFDB; Graded Ring Database; MongoDB; nauty; Normaliz; birkhoff faces Cited in: 30 Documents all top 5 Cited by 38 Authors 8 Eick, Bettina 8 Mayer, Daniel C. 3 Dietrich, Heiko 2 Azizi, Abdelmalek 2 Holthausen, Martin 2 Horn, Max 2 Lavoura, Luís 2 Schmidt, Michael A. 2 2 Talbi, Mohammed 1 Bush, Michael R. 1 de Medeiros Varzielas, Ivo 1 Derhem, Aïssa 1 Distler, Andreas 1 Feichtenschlager, Dörte 1 Hulpke, Alexander Jörg 1 Ivanov, Igor P. 1 Jurčiukonis, Darius 1 Kelsey, Tom 1 King, Simon A. 1 Kishi, Yasuhiro 1 Konovalov, Olexandr 1 Koshitani, Shigeo 1 Lindner, Manfred 1 Low, Darren 1 Ludl, Patrick Otto 1 Merle, Alexander 1 Moede, Tobias 1 Müller, Jürgen 1 Noeske, Felix 1 Paffenholz, Andreas 1 Pan, Xueyu 1 Putzka, Jens Frederik Bernhard 1 Rasmussen, Rasmus W. 1 Shao, Jiazhen 1 Talbert, Jim 1 Wood, Melanie Matchett 1 Zwicky, Roman all top 5 Cited in 15 Serials 4 Journal of Algebra 4 Journal of High Energy Physics 2 Journal de Théorie des Nombres de Bordeaux 2 International Journal of Number Theory 1 International Journal of Modern Physics A 1 Mathematical Notes 1 Physics Letters. B 1 Duke Mathematical Journal 1 Journal of Number Theory 1 Semigroup Forum 1 Journal of Symbolic Computation 1 Journal of Group Theory 1 Journal of Algebra and its Applications 1 Annales Mathématiques du Québec 1 PTEP. Progress of Theoretical and Experimental Physics all top 5 Cited in 11 Fields 21 Group theory and generalizations (20-XX) 9 Number theory (11-XX) 6 Quantum theory (81-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) Citations by Year