Simple polyadic groups

Details Simple polyadic groups Simple polyadic groups

2012-03-09

arxiv.org/abs/1203.2125v1

Mathematics

Group Theory

14 pages

Scientific paper

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.

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