On the Automorphisms and Representations of Polyadic Groups

Abstract

Using a unified method, we determine the structure of automorphisms and representations of arbitrary polyadic groups. More precisely, for a polyadic group $(G,f)=de{r}_{\theta ,b}(G,\cdot )$, we obtain a complete description of automorphisms and representations of $(G,f)$ in terms of automorphisms and representations of the binary group $(G,\cdot )$.