On the Automorphisms and Representations of Polyadic Groups

H. Khodabandeh, M. Shahryari*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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, ·).

Original languageEnglish
Pages (from-to)2199-2212
Number of pages14
JournalCommunications in Algebra
Volume40
Issue number6
DOIs
Publication statusPublished - Jun 2012
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

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