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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2022 Volume 63, Number 6, Pages 1237–1247 (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

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.

UDC: 512.542

MSC: 35R30

Received: 03.10.2021
Revised: 01.08.2022
Accepted: 15.08.2022

DOI: 10.33048/smzh.2022.63.605


 English version:
Siberian Mathematical Journal, 2022, 63:6, 1060–1068


© Steklov Math. Inst. of RAS, 2024