Polyadic groups and automorphisms of cyclic extensions

Abstract

We show that for any $n$-ary group $(G,f)$, the group $Aut(G,f)$ can be embedded in $Aut({\mathbb{Z}}_{n-1}⋉G)$ and so we can obtain a class of interesting automorphisms of cyclic extensions.

References in corpus (1)

• Around the Hosszú-Gluskin theorem for $n$-ary groups