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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2021 Issue 3(48), Pages 63–72 (Mi pfmt796)

This article is cited in 2 papers

MATHEMATICS

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

A. M. Gal'mak

Belarusian State University of Food and Chemical Technologies, Mogilev

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.

UDC: 512.548

Received: 24.06.2021

DOI: 10.54341/20778708_2021_3_48_63



© Steklov Math. Inst. of RAS, 2026