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A Mathematica Notebook for Computing the Homology of Iterated Products of Groups

 

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Opened Access A Mathematica Notebook for Computing the Homology of Iterated Products of Groups
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Author: Álvarez Solano, Víctor
Armario Sampalo, José Andrés
Frau García, María Dolores
Real Jurado, Pedro
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2006
Published in: Mathematical Software - ICMS 2006, Lecture Notes in Computer Science, Vol. 4151, p. 47-57
Document type: Chapter of Book
Abstract: Let G be a group which admits the structure of an iterated product of central extensions and semidirect products of abelian groups G i (both finite and infinite). We describe a Mathematica 4.0 notebook for computing the homology of G, in terms of some homological models for the factor groups G i and the products involved. Computational results provided by our program have allowed the simplification of some of the formulae involved in the calculation of H n (G). Consequently the efficiency of the method has been improved as well. We include some executions and examples.
Size: 489.4Kb
Format: PDF

URI: http://hdl.handle.net/11441/31614

DOI: http://dx.doi.org/10.1007/11832225_5

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