2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75818Let V(F_pG) be the group of normalized units of the group algebra F_pG of a finite nonabelian p-group G over the field F_p of p elements. Our goal is to investigate the power structure of V(F_pG), when it has nilpotency class p. As a consequence, we have proved that if G and H are p-groups with cyclic Frattini subgroups and p>2, then V(F_pG) is isomorphic to V(F_pH) if and only if G and H are isomorphic.Rings and AlgebrasGroup Theory16A46, 16A26, 20C05, 19A22text