HAP
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.
Keywords for this software
References in zbMATH (referenced in 31 articles , 1 standard article )
Showing results 1 to 20 of 31.
Sorted by year (- Hatui, Sumana: Characterization of finite $p$-groups by their Schur multiplier (2018)
- Carr, Hamish (ed.); Garth, Christoph (ed.); Weinkauf, Tino (ed.): Topological methods in data analysis and visualization IV. Theory, algorithms, and applications. Selected papers based on the presentations at the TopoInVis workshop, Annweiler, Germany, 2015 (2017)
- Hatui, Sumana: Finite $p$-groups having Schur multiplier of maximum order (2017)
- Hoshi, Akinari; Yamasaki, Aiichi: Rationality problem for algebraic tori (2017)
- Schönnenbeck, Sebastian: Resolutions for unit groups of orders (2017)
- Bui, A. T.; Ellis, Graham: Computing Bredon homology of groups (2016)
- Ellis, Graham: Cohomological periodicities of crystallographic groups. (2016)
- Lambe, Larry A.: An algebraic study of the Klein bottle (2016)
- Odabaş, A.; Uslu, E. Ö.; Ilgaz, E.: Isoclinism of crossed modules (2016)
- Brendel, Piotr; Dłotko, Paweł; Ellis, Graham; Juda, Mateusz; Mrozek, Marian: Computing fundamental groups from point clouds (2015)
- Lutowski, Rafał; Putrycz, Bartosz: Spin structures on flat manifolds (2015)
- Rai, Pradeep K.; Yadav, Manoj K.: On $\mathrm\cyr Sh$-rigidity of groups of order $p^6$. (2015)
- Bui, Anh Tuan; Ellis, Graham: The homology of $SL_2(\Bbb Z[1/m])$ for small $m$. (2014)
- Ellis, Graham; Hegarty, Fintan: Computational homotopy of finite regular CW-spaces (2014)
- Jezernik, Urban; Moravec, Primož: Bogomolov multipliers of groups of order 128 (2014)
- Kaczynski, Tomasz; Mrozek, Marian: The cubical cohomology ring: an algorithmic approach (2013)
- Niroomand, Peyman; Rezaei, Rashid: The exterior degree of a pair of finite groups. (2013)
- Romero, Ana; Rubio, Julio: Homotopy groups of suspended classifying spaces: an experimental approach (2013)
- Álvarez, Víctor; Armario, José Andrés; Frau, María Dolores; Real, Pedro: Homological models for semidirect products of finitely generated Abelian groups. (2012)
- Ellis, Graham; Van Luyen, Le: Computational homology of $n$-types (2012)