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HomologyIteratedGroups
Authors

Victor Alvarez Solano
Organization: University of Seville (Spain)
Department: Matematica Aplicada I
Jose Andres Armario-Sampalo
Organization: University of Seville (Spain)
Department: Matematica Aplicada I
Maria Dolores Frau-Garcia
Organization: University of Seville (Spain)
Department: Matematica Aplicada I
Pedro Real-Jurado
Organization: University of Seville (Spain)
Department: Matematica Aplicada I
Revision date

2006-11-08
Description

This is a tool for computing the integral homology groups of iterated products of central extensions, direct and semidirect products of abelian groups.

We make use of the homological models described by V.Alvarez, J.A.Armario, M.D.Frau and P.Real in "A Mathematica notebook for computing the homology of iterated products of groups", ICMS-06, Castro Urdiales, Spain (2006). To appear in a special issue of LNCS.

Three input data are needed: a tree-list representing the iterated product (as a binary tree), the list of cardinalities of the factor groups, and the order of the homology module to be computed.
Subjects

*Applied Mathematics > Numerical Methods
*Mathematics > Algebra > Group Theory
*Mathematics > Topology
Keywords

Homology, homological model, iterated product of groups
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HomologyIteratedGroups.m (44.4 KB) - Mathematica Package
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HomologyIteratedGroups.nb (88 KB) - Mathematica Notebook
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Readme-HomologyIteratedGroups.nb (8.1 KB) - Mathematica Notebook