Geodesic
On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$.~IV
Problemy fiziki, matematiki i tehniki, no. 1 (2022), pp. 55-61.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $\{1, 2, \dots, k\}$.
Mots-clés : group
Keywords: $l$-ary group, set of generators. 
@article{PFMT_2022_1_a8,
     author = {A. M. Gal'mak},
     title = {On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle${.~IV}},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {55--61},
     publisher = {mathdoc},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2022_1_a8/}
}
TY  - JOUR
AU  - A. M. Gal'mak
TI  - On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$.~IV
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2022
SP  - 55
EP  - 61
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2022_1_a8/
LA  - ru
ID  - PFMT_2022_1_a8
ER  - 
%0 Journal Article
%A A. M. Gal'mak
%T On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$.~IV
%J Problemy fiziki, matematiki i tehniki
%D 2022
%P 55-61
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2022_1_a8/
%G ru
%F PFMT_2022_1_a8
A. M. Gal'mak. On sets of generators of $l$-ary group $\langle A^k, [\ ]_{l,\sigma,k}\rangle$.~IV. Problemy fiziki, matematiki i tehniki, no. 1 (2022), pp. 55-61. http://geodesic.mathdoc.fr/item/PFMT_2022_1_a8/

[1] A.M. Galmak, “O porozhdayuschikh mnozhestvakh $l$-arnoi gruppy $\langle A^k, [\ ]_{l,\sigma,k}\rangle$. I”, Problemy fiziki, matematiki i tekhniki, 2021, no. 2 (47), 69–78

[2] A.M. Galmak, “O porozhdayuschikh mnozhestvakh $l$-arnoi gruppy $\langle A^k, [\ ]_{l,\sigma,k}\rangle$. II”, Problemy fiziki, matematiki i tekhniki, 2021, no. 3 (48), 63–72

[3] A.M. Galmak, “O porozhdayuschikh mnozhestvakh $l$-arnoi gruppy $\langle A^k, [\ ]_{l,\sigma,k}\rangle$. III”, Problemy fiziki, matematiki i tekhniki, 2021, no. 4 (49), 76–80

[4] E.L. Post, “Polyadic groups”, Trans. Amer. Math. Soc., 48:2 (1940), 208–350 | DOI | MR

[5] S.A. Rusakov, Algebraicheskie $n$-arnye sistemy, Navuka i tekhnika, Minsk, 1992, 245 pp.

[6] A.A. Bukhshtab, Teoriya chisel, Prosveschenie, M., 1966, 384 pp. | MR