Simple polyadic groups

H. Khodabandeh*, M. Shahryari

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The main aim of this article is to establish a characterization of simple polyadic groups in terms of ordinary groups and their automorphisms. We give two different definitions of simpleness for polyadic groups, from the point of views of universal algebra, UAS (universal algebraic simpleness), and group theory, GTS (group theoretical simpleness). We obtain necessary and sufficient conditions for a polyadic group to be UAS or GTS.

Original languageEnglish
Pages (from-to)734-744
Number of pages11
JournalSiberian Mathematical Journal
Volume55
Issue number4
DOIs
Publication statusPublished - Jul 2014
Externally publishedYes

Keywords

  • congruence
  • n-ary group
  • polyadic group
  • retract of n-ary group
  • simple polyadic group

ASJC Scopus subject areas

  • Mathematics(all)

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