descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jul 2014Embargo end date: 01 Jan 2012 English Publisher:Pleiades Publishing LtdJournal:Siberian Mathematical Journal, volume 55, pages 734-744 (issn: 0037-4466, eissn: 1573-9260,

Authors: H. Khodabandeh; Mohammad Shahryari;

doi: 10.1134/s0037446614040156 , 10.48550/arxiv.1203.2125

arXiv: http://arxiv.org/abs/1203.2125

Simple polyadic groups

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Abstract

The main aim of this article is to establish a classification 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 algebraically simpleness), and group theory, GTS (group theoretically simpleness). We obtain the necessary and sufficient conditions for a polyadic group to be UAS or GTS.

14 pages

Related Organizations

University of Tabriz
Iran (Islamic Republic of)

Keywords

FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, 20N15

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