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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2022, Issue 1(50), Pages 55–61
DOI: https://doi.org/10.54341/20778708_2022_1_50_55
(Mi pfmt827)
 

MATHEMATICS

On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$. IV

A. M. Gal'mak

Belarusian State University of Food and Chemical Technologies, Mogilev
References:
Abstract: The article goes on with the studies on the described earlier relationship between sets of generators in group $A$ and sets of generators in polyadic group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$ with $l$-ary operation $[\ ]_{l,\sigma,k}$, that is defined on Cartesian power $A^k$ of group $A$ for arbitrary integer $l\geqslant2$ and arbitrary substitution $\sigma$ from the set $\mathbf{S}_k$ of all substitutions of the set $\{1, 2, \dots, k\}$.
Keywords: group, $l$-ary group, set of generators.
Received: 08.02.2022
Document Type: Article
UDC: 512.548
Language: Russian
Citation: A. M. Gal'mak, “On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$. IV”, PFMT, 2022, no. 1(50), 55–61
Citation in format AMSBIB
\Bibitem{Gal22}
\by A.~M.~Gal'mak
\paper On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$.~IV
\jour PFMT
\yr 2022
\issue 1(50)
\pages 55--61
\mathnet{http://mi.mathnet.ru/pfmt827}
\crossref{https://doi.org/10.54341/20778708_2022_1_50_55}
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    Проблемы физики, математики и техники
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