Chapter of Book
An algorithm for computing cocyclic matrices developed over some semidirect products
Author/s | Armario Sampalo, José Andrés
Frau García, María Dolores Real Jurado, Pedro Álvarez Solano, Víctor |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I |
Publication Date | 2001 |
Deposit Date | 2015-12-09 |
Published in |
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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 ... 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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