HAP swMATH ID: 4870 Software Authors: Graham Ellis Description: HAP is a homological algebra library for use with the GAP computer algebra system, and is still under development. Its initial focus is on computations related to the cohomology of groups. Both finite and infinite groups are handled, with emphasis on integral coefficients. Recent additions include some functions for computing homology of crossed modules and simplicial groups, and also some functions for handling simplicial complexes, cubical complexes and regular CW-complexes in the context of topological data analysis. Homepage: http://hamilton.nuigalway.ie/Hap/www/index.html Dependencies: GAP Keywords: homological algebra computations; GAP Related Software: GAP; Kenzo; OpenMath; XMod; CARAT; CrystGAP; SymbCompCC; RedHom; SageMath; fKenzo; ACL2; polymake; IO; Traces; nauty; PFPK; MAGNUS; Magma; Carat; MersenneTwister Cited in: 40 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Homological algebra programming. Zbl 1155.20051Ellis, Graham 2008 all top 5 Cited by 53 Authors 12 Ellis, Graham J. 6 Rubio García, Julio Jesús 4 Romero, Ana 3 Bui, Anh Tuan 3 Heras, Jónathan 3 Pascual, Vico 2 Dutour-Sikiric, Mathieu 2 Hatui, Sumana 2 Hoshi, Akinari 2 Mrozek, Marian 2 Niroomand, Peyman 2 Odabaş, Alper 2 Yamasaki, Aiichi 1 Alvarez, Victor 1 Armario, José ándrés 1 Arvasi, Zekeriya 1 Brendel, Piotr 1 Carr, Hamish 1 Dietrich, Heiko 1 Dłotko, Paweł 1 Eick, Bettina 1 Feichtenschlager, Dörte 1 Frau, María Dolores 1 Garth, Christoph 1 Gruen, Angus 1 Hegarty, Fintan 1 Ilgaz, Elif 1 Jezernik, Urban 1 Joyner, David 1 Juda, Mateusz 1 Kaczynski, Tomasz 1 Kang, Ming-Chang 1 Lambe, Larry Albert 1 Lutowski, Rafał 1 Moghaddam, Mohammad Reza Rajabzadeh 1 Moravec, Primož 1 Morrison, Scott 1 Putrycz, Bartosz 1 Rahm, Alexander Daniel 1 Rai, Pradeep Kumar 1 Real, Pedro 1 Rezaei, Rashid 1 Röder, Marc 1 Schauenburg, Peter 1 Schönnenbeck, Sebastian 1 Schürmann, Achill 1 Szymik, Markus 1 Uslu, Enver Önder 1 Van Luyen, Le 1 Weinkauf, Tino 1 Wendt, Matthias 1 Wensley, Christopher D. 1 Yadav, Manoj Kumar all top 5 Cited in 16 Serials 8 Journal of Algebra 5 Journal of Symbolic Computation 4 Journal of Homotopy and Related Structures 2 Applicable Algebra in Engineering, Communication and Computing 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Mathematics of Computation 1 Indiana University Mathematics Journal 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Memoirs of the American Mathematical Society 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Experimental Mathematics 1 Foundations of Computational Mathematics 1 Mediterranean Journal of Mathematics 1 Mathematics and Visualization all top 5 Cited in 18 Fields 24 Group theory and generalizations (20-XX) 16 Computer science (68-XX) 12 Algebraic topology (55-XX) 8 Category theory; homological algebra (18-XX) 7 Manifolds and cell complexes (57-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Citations by Year