Interoperating between computer algebra systems: Computing homology of groups with kenzo and GAP

Ana Romero, Graham Ellis, Julio Rubio

Research output: Chapter in Book or Conference Publication/ProceedingConference Publicationpeer-review

11 Citations (Scopus)

Abstract

In this paper we report on an experience communicating between the GAP computional algebra system (in particular, its HAP package for homological algebra computations) and the Kenzo computer system for Algebraic Topology. Both systems were made to cooperate through an OpenMath link in order to perform computations in group cohomology. Furthermore, once HAP output is integrated into Kenzo, it can be used to compute more complicated algebraic invariants such as the homology groups of various 2-types.

Original languageEnglish
Title of host publicationISSAC 2009 - Proceedings of the 2009 International Symposium on Symbolic and Algebraic Computation
Pages303-310
Number of pages8
DOIs
Publication statusPublished - 2009
Event2009 International Symposium on Symbolic and Algebraic Computation, ISSAC 2009 - Seoul, Korea, Republic of
Duration: 28 Jul 200931 Jul 2009

Publication series

NameProceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

Conference

Conference2009 International Symposium on Symbolic and Algebraic Computation, ISSAC 2009
Country/TerritoryKorea, Republic of
CitySeoul
Period28/07/0931/07/09

Keywords

  • GAP
  • Group cohomology
  • Interoperability
  • Kenzo
  • OpenMath

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