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) = der _{θ, b} (G, ·), we obtain a complete description of automorphisms and representations of (G, f) in terms of automorphisms and representations of the binary group (G, ·).

Key Words:

• Automorphisms of polyadic groups
• Autotopy
• Homotopy
• Polyadic groups
• Polyadic quasi-groups
• Representations
• Retract group

2000 Mathematics Subject Classification:

• 20N15

Notes

Communicated by V. A. Artamonov.