Duality on group algebras over finite chain rings: applications to additive group codes

Maryam Bajalan, Javier de la Cruz, Alexandre Fotue Tabue +1

Given a finite group $G$ and an extension of finite chain rings $S|R$, one can consider the group rings $\mathcal{S}=S[G]$ and $\mathcal{R}=R[G]$. The group ring $\mathcal{S}$…