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An algorithm for computing cocyclic matrices developed over some semidirect products

 

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Opened Access An algorithm for computing cocyclic matrices developed over some semidirect products
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Author: Armario Sampalo, José Andrés
Frau García, María Dolores
Real Jurado, Pedro
Álvarez Solano, Víctor
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I
Date: 2001
Published in: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, Lecture Notes in Computer Science, Vol. 2227 p. 287-296
Document type: Chapter of Book
Abstract: An algorithm for calculating a set ofgenerators ofrepresentative 2-cocycles on semidirect product offinite abelian groups is constructed, in light ofthe theory over cocyclic matrices developed by Horadam and de Launey in [7],[8]. The method involves some homological perturbation techniques [3],[1], in the homological correspondent to the work which Grabmeier and Lambe described in [12] from the viewpoint ofcohomology . Examples ofexplicit computations over all dihedral groups D 4t are given, with aid of Mathematica.
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Format: PDF

URI: http://hdl.handle.net/11441/31601

DOI: http://dx.doi.org/10.1007/3-540-45624-4_30

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