On Free Polyadic Groups

2019/05/25 by Fathtabar, Gholamhosein, H. Khodabandeh, Khodabandeh, Hamid +2
Mathematics · #Finite Group Theory Research #Geometric and Algebraic Topology #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.1905.11821

Abstract

In this article, for a polyadic group(G,f),derived from group G by automorphism G and element b, we give a necessary and sufficient condition in terms of the group, the automorphism G, and the element b, in order that the polyadic group becomes free.

Related

• Simple polyadic groups
• On the Automorphisms and Representations of Polyadic Groups
• Poly-freeness of even Artin groups of FC type
• Some virtually poly-free Artin groups
• Polyadic groups and automorphisms of cyclic extensions