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On Lockett’s Conjecture for σ-Local Fitting Classes

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Abstract

In this paper we find families of generalized local Fitting classes for which the Lockett conjecture is true. It is proven that each generalized local Fitting class is defined as the intersection of the Lockett class and some normal Fitting class.

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Funding

This work was supported by State Program of Scientific Research of the Republic of Belarus Convergence-2025.

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Correspondence to N. T. Vorob’ev or E. D. Volkova.

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The authors declare that they have no conflicts of interest.

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Vorob’ev, N.T., Volkova, E.D. On Lockett’s Conjecture for σ-Local Fitting Classes. Russ Math. 66, 12–17 (2022). https://doi.org/10.3103/S1066369X22110093

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  • DOI: https://doi.org/10.3103/S1066369X22110093

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