Rational Bilinear Forms as Cocycles


  • Felipe Clímaco Ccolque T. Facultad de Ciencias, UNI-IMCA, Calle los Biólogos, Urb San Cesar, La Molina, Lima 12-Perú.




Rational bilinear form, 2-cocycle, crossed product, Galois extension, Galois Group of a polynomial


In this article, some nontrivial 2-cocycles are computed for crossed products of algebraic extensions of the field of rational numbers Q with cyclic groups of order 2 and 3, with finite groups of order 4, 6 and 8. The 2-cocycles are applied for bilinear forms over finite-dimensional vector space whose scalars field is Q and few examples of these cocycles are presented in terms of matrices.


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How to Cite

Ccolque T., F. C. (2021). Rational Bilinear Forms as Cocycles. Selecciones Matemáticas, 8(01), 100 - 119. https://doi.org/10.17268/sel.mat.2021.01.10