On the Automorphisms and Representations of Polyadic Groups

preprint2010arXivOpen access

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)=derθ,b(G,⋅)(G, f)=der_{θ, b}(G, \cdot), we obtain a complete description of automorphisms and representations of (G,f)(G,f) in terms of automorphisms and representations of the binary group (G,⋅)(G, \cdot).

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