2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77079For a field $K$ of the second kind with respect to 2 and of characteristic different from 2, we consider the decomposition of the binomials $x^{2^n} - a$ into a product of irreducible factors over $K$ and find the explicit form of the minimal idempotents of the twisted group algebra $K^t< g>$ of a cyclic 2-group $<g>$ over $K$.11 pages, latexRings and AlgebrasGroup Theory16S34; 20C05text