TY - JOUR AU - Ccolque T., Felipe Clímaco PY - 2021/07/29 Y2 - 2024/03/29 TI - Rational Bilinear Forms as Cocycles JF - Selecciones Matemáticas JA - Sel.Mat. VL - 8 IS - 01 SE - DO - 10.17268/sel.mat.2021.01.10 UR - https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3707 SP - 100 - 119 AB - <p>In this article, some nontrivial 2-cocycles are computed for crossed products of algebraic extensions of the&nbsp;field of rational numbers Q with cyclic groups of order 2 and 3, with finite groups of order 4, 6 and 8. The&nbsp;2-cocycles are applied for bilinear forms over finite-dimensional vector space whose scalars field is Q and&nbsp;few examples of these cocycles are presented in terms of matrices.</p> ER -