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.
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
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\by N.~T.~Vorob'ev, E.~D.~Lantsetova
\paper On the Distributivity and Modularity Properties of the Lattice of Fitting Classes
\jour Mat. Zametki
\yr 2021
\vol 110
\issue 5
\pages 658--671
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\crossref{https://doi.org/10.4213/mzm13135}
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\transl
\jour Math. Notes
\yr 2021
\vol 110
\issue 5
\pages 655--665
\crossref{https://doi.org/10.1134/S000143462111002X}
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Linking options:
https://www.mathnet.ru/eng/mzm13135
https://doi.org/10.4213/mzm13135
https://www.mathnet.ru/eng/mzm/v110/i5/p658
This publication is cited in the following 1 articles:
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
Citation in format AMSBIB
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