2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157065Let U be the group of units of an infinite twisted group algebra K_λG over a field K. We describe the maximal FC-subgroup of U and give a characterization of U with finitely conjugacy classes. In the case of group algebras we obtain the Cliff-Sehgal-Zassenhaus' theorem.18 pagesRings and AlgebrasGroup Theory16S35; 20C07; 16U60text