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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
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
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
Linking options:
https://www.mathnet.ru/eng/pfmt827 https://www.mathnet.ru/eng/pfmt/y2022/i1/p55
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Abstract page: | 54 | Full-text PDF : | 26 | References: | 26 |
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