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Matematicheskie Zametki, 2021, Volume 110, Issue 5, Pages 658–671
DOI: https://doi.org/10.4213/mzm13135 (Mi mzm13135) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Distributivity and Modularity Properties of the Lattice of Fitting Classes

N. T. Vorob'ev, E. D. Lantsetova

Vitebsk State University named after P. M. Masherov
Full-text PDF (534 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13135
Abstract: It is proved that the lattice of all Fitting classes of finite groups is not distributive, and conditions under which Fitting classes satisfy the distributive and modular laws are determined.
Keywords: Fitting class, F-radical, lattice of Fitting classes, modular and distributive laws.
Funding agency Grant number
National Academy of Sciences of Belarus, Ministry of Education of the Republic of Belarus
This work was supported by the State Program for Scientific Research of the Republic of Belarus “Convergence-2025.”
Received: 04.06.2021
Revised: 15.06.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 5, Pages 655–665
DOI: https://doi.org/10.1134/S000143462111002X
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: N. T. Vorob'ev, E. D. Lantsetova, “On the Distributivity and Modularity Properties of the Lattice of Fitting Classes”, Mat. Zametki, 110:5 (2021), 658–671; Math. Notes, 110:5 (2021), 655–665
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm13135
  • https://www.mathnet.ru/eng/mzm/v110/i5/p658
    • This publication is cited in the following 1 articles:
    1. N. T. Vorob'ev, E. D. Volkova, “On the distributivity and modularity signs of a family of Fitting sets of a finite group”, Siberian Math. J., 63:6 (2022), 1060–1068  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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