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.


References in zbMATH (referenced in 23 articles )

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  1. Ellis, Graham: Cohomological periodicities of crystallographic groups. (2016)
  2. Odabaş, A.; Uslu, E.Ö.; Ilgaz, E.: Isoclinism of crossed modules (2016)
  3. Brendel, Piotr; Dłotko, Paweł; Ellis, Graham; Juda, Mateusz; Mrozek, Marian: Computing fundamental groups from point clouds (2015)
  4. Lutowski, Rafał; Putrycz, Bartosz: Spin structures on flat manifolds (2015)
  5. Rai, Pradeep K.; Yadav, Manoj K.: On $\mathrm\cyr Sh$-rigidity of groups of order $p^6$. (2015)
  6. Bui, Anh Tuan; Ellis, Graham: The homology of $SL_2(\Bbb Z[1/m])$ for small $m$. (2014)
  7. Ellis, Graham; Hegarty, Fintan: Computational homotopy of finite regular CW-spaces (2014)
  8. Jezernik, Urban; Moravec, Primož: Bogomolov multipliers of groups of order 128 (2014)
  9. Kaczynski, Tomasz; Mrozek, Marian: The cubical cohomology ring: an algorithmic approach (2013)
  10. Niroomand, Peyman; Rezaei, Rashid: The exterior degree of a pair of finite groups. (2013)
  11. Romero, Ana; Rubio, Julio: Homotopy groups of suspended classifying spaces: an experimental approach (2013)
  12. Álvarez, Víctor; Armario, José Andrés; Frau, María Dolores; Real, Pedro: Homological models for semidirect products of finitely generated Abelian groups. (2012)
  13. Ellis, Graham; Van Luyen, Le: Computational homology of $n$-types (2012)
  14. Romero, Ana; Rubio, Julio: Computing the homology of groups: the geometric way. (2012)
  15. Ellis, Graham; Smith, Paul: Computing group cohomology rings from the Lyndon-Hochschild-Serre spectral sequence. (2011)
  16. Heras, Jónathan; Pascual, Vico; Rubio, Julio: A system for computing and reasoning in algebraic topology (2011)
  17. Sikirić, Mathieu Dutour; Ellis, Graham; Schürmann, Achill: On the integral homology of $\textPSL_4(\Bbb Z)$ and other arithmetic groups (2011)
  18. Heras, Jónathan; Pascual, Vico; Romero, Ana; Rubio, Julio: Integrating multiple sources to answer questions in algebraic topology (2010)
  19. Röder, Marc: Geometric algorithms for resolutions for Bieberbach groups. (2010)
  20. Dutour Sikirić, Mathieu; Ellis, Graham: Wythoff polytopes and low-dimensional homology of Mathieu groups. (2009)

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