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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 11, Pages 14–20
DOI: https://doi.org/10.26907/0021-3446-2022-11-14-20 (Mi ivm9825) 		 
On Lockett conjecture for σ-local Fitting classes

N. T. Vorob'ev, E. D. Volkova

P.M. Masherov Vitebsk State University, 33 Moscow Ave., Vitebsk, 210038 Republic of Belarus
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DOI: https://doi.org/10.26907/0021-3446-2022-11-14-20
Abstract: In this paper we find families of generalized local Fitting classes for which the Lockett conjecture is true. It is proved that each generalized local Fitting class is defined as the intersection of the Lockett class and some normal Fitting class.
Keywords: Fiting class, σ-local Fitting class, Lockett conjecture.
Funding agency Grant number
ГПНИ "Конвергенция-2025"
Received: 22.12.2021
Revised: 22.12.2021
Accepted: 08.04.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 11, Pages 12–17
DOI: https://doi.org/10.3103/S1066369X22110093
Document Type: Article
UDC: 512.542
Language: Russian
Citation: N. T. Vorob'ev, E. D. Volkova, “On Lockett conjecture for σ-local Fitting classes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 11, 14–20; Russian Math. (Iz. VUZ), 66:11 (2022), 12–17
Citation in format AMSBIB
\Bibitem{VorVol22}
\by N.~T.~Vorob'ev, E.~D.~Volkova
\paper On Lockett conjecture for $\sigma$-local Fitting classes
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 11
\pages 14--20
\mathnet{http://mi.mathnet.ru/ivm9825}
\crossref{https://doi.org/10.26907/0021-3446-2022-11-14-20}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 11
\pages 12--17
\crossref{https://doi.org/10.3103/S1066369X22110093}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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