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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 6, Pages 1237–1247
DOI: https://doi.org/10.33048/smzh.2022.63.605 (Mi smj7727) 		 
On the distributivity and modularity signs of a family of Fitting sets of a finite group

N. T. Vorob'ev, E. D. Volkova

Vitebsk State University named after P. M. Masherov
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DOI: https://doi.org/10.33048/smzh.2022.63.605
Abstract: We find conditions for the Fitting sets of a group to satisfy the distributive and modular laws.
Keywords: Fitting set, $\sigma$-local Fitting set, distributive and modular laws.
Funding agency Grant number
ГПНИ "Конвергенция-2025" ГР 20210495
The work is supported by the State Program for Scientific Research of the Republic of Belarus “Convergence-2025” (State Registration no. 20210495).
Received: 03.10.2021
Revised: 01.08.2022
Accepted: 15.08.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 6, Pages 1060–1068
DOI: https://doi.org/10.1134/S0037446622060052
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: N. T. Vorob'ev, E. D. Volkova, “On the distributivity and modularity signs of a family of Fitting sets of a finite group”, Sibirsk. Mat. Zh., 63:6 (2022), 1237–1247; Siberian Math. J., 63:6 (2022), 1060–1068
Citation in format AMSBIB
\Bibitem{VorVol22}
\by N.~T.~Vorob'ev, E.~D.~Volkova
\paper On the distributivity and modularity signs of a~family of Fitting sets of a~finite group
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 6
\pages 1237--1247
\mathnet{http://mi.mathnet.ru/smj7727}
\crossref{https://doi.org/10.33048/smzh.2022.63.605}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 6
\pages 1060--1068
\crossref{https://doi.org/10.1134/S0037446622060052}
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