Geodesic
Polyadic analogues of normal subgroups in polyadic groups of special form.~I
Problemy fiziki, matematiki i tehniki, no. 3 (2024), pp. 54-58

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The article studies the normal subgroups in polyadic groups of special form, that is in polyadic groups with $l$-ary operation $\eta_{s,\sigma,k}$, that is called polyadic operation of special form and is defined on Cartesian power of $A^k$ $n$-ary group $\langle A,\eta\rangle$ by substitution $\sigma\in\mathbf{S}_k$ which order divides $l-1$ and $n$-ary operation $\eta$.
Keywords: polyadic operation, semiinvariant $l$-ary subgroups, $n$-semiinvariant $l$-ary subgroups. 
@article{PFMT_2024_3_a9,
     author = {A. M. Gal'mak},
     title = {Polyadic analogues of normal subgroups in polyadic groups of special {form.~I}},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {54--58},
     publisher = {mathdoc},
     number = {3},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2024_3_a9/}
}
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A. M. Gal'mak. Polyadic analogues of normal subgroups in polyadic groups of special form.~I. Problemy fiziki, matematiki i tehniki, no. 3 (2024), pp. 54-58. http://geodesic.mathdoc.fr/item/PFMT_2024_3_a9/