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

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematical Notes 2021-11, Vol.110 (5-6), p.655-665
Hauptverfasser:	Vorob’ev, N. T., Lantsetova, E. D.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Mathematics Mathematics and Statistics Modularity
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Beschreibung
Zusammenfassung:	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.
ISSN:	0001-4346 1067-9073 1573-8876
DOI:	10.1134/S000143462111002X