On Lockett conjecture for $\sigma$-local Fitting classes
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2022), pp. 14-20

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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, $\sigma$-local Fitting class, Lockett conjecture.
@article{IVM_2022_11_a1,
     author = {N. T. Vorob'ev and E. D. Volkova},
     title = {On {Lockett} conjecture for $\sigma$-local {Fitting} classes},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {14--20},
     publisher = {mathdoc},
     number = {11},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_11_a1/}
}
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N. T. Vorob'ev; E. D. Volkova. On Lockett conjecture for $\sigma$-local Fitting classes. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2022), pp. 14-20. http://geodesic.mathdoc.fr/item/IVM_2022_11_a1/