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

PFMT, 2024 Issue 3(60), Pages 54–58 (Mi pfmt984)

This article is cited in 3 papers

MATHEMATICS

Polyadic analogues of normal subgroups in polyadic groups of special form. I

A. M. Gal'mak

Belarusian State University of Food and Chemical Technologies, Mogilev

Abstract: 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.

UDC: 512.548

Received: 30.04.2024

DOI: 10.54341/20778708_2024_3_60_54



© Steklov Math. Inst. of RAS, 2026