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.
All authors are partially supported by the PAICYT research project FQM-296 from Junta de Andalucía and the DGESIC research project PB98-1621-C02-02 from Education and Science Ministry (Spain).
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Álvarez, V., Armario, J., Frau, M., Real, P. (2001). An Algorithm for Computing Cocyclic Matrices Developed over Some Semidirect Products. In: Boztaş, S., Shparlinski, I.E. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2001. Lecture Notes in Computer Science, vol 2227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45624-4_30
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