Geodesic
On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$.~I
Problemy fiziki, matematiki i tehniki, no. 2 (2021), pp. 69-76.

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The 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 $l\geqslant 2$ and arbitrary substitution $\sigma$ from the set $\mathbf{S}_k$ of all substitutions of the set $\{1, 2,\dots, k\}$ is described.
Mots-clés : group
Keywords: $l$-ary group, set of generators. 
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A. M. Gal'mak. On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$.~I. Problemy fiziki, matematiki i tehniki, no. 2 (2021), pp. 69-76. http://geodesic.mathdoc.fr/item/PFMT_2021_2_a9/

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