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.
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Original Russian Text Copyright © 2014 Khodabandeh H. and Shahryari M.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 4, pp. 898–911, July–August, 2014.
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Khodabandeh, H., Shahryari, M. Simple polyadic groups. Sib Math J 55, 734–744 (2014). https://doi.org/10.1134/S0037446614040156
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DOI: https://doi.org/10.1134/S0037446614040156