2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224324For any normal commutative Hopf subalgebra $K=k^G$ of a semisimple Hopf algebra we describe the ring inside $kG$ obtained by the restriction of $H$-modules. If $G=\Z_p$ this ring determines a fusion ring and we give a complete description for it. The case $G=\Z_{p^n}$ and some other applications are presented.17 pages, no figures, accepted to ARTRepresentation TheoryNumber Theory16W30text