On the distributivity and modularity properties of the lattice of Fitting classes

DOI10.1134/S000143462111002XOpenAlexW4200290611MaRDI QIDQ2063645

Nikolay T. Vorob'ev, E. D. Lantsetova

Publication date: 11 January 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462111002x

zbMATH Keywords

Fitting class\( \mathfrak{F} \)-radicallattice of Fitting classesmodular and distributive laws

Mathematics Subject Classification ID

Special aspects of infinite or finite groups (20Fxx) Abstract finite groups (20Dxx) Structure and classification of infinite or finite groups (20Exx)

Related Items (1)

On the distributivity and modularity signs of a family of fitting sets of a finite group

Cites Work

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• Finite \(\pi\)-groups with normal injectors.
• A note on Fitting classes
• Finite soluble groups
• The join of two Fitting classes
• On Hawkes's conjecture for radical classes
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
• The Fitting class \({\mathfrak F}^*\)
• On locally normal Fitting classes of finite soluble groups
• On sublattices of the subgroup lattice defined by formation Fitting sets
• On \(\sigma\)-local Fitting classes
• Über normale Schunck- und Fittingklassen
• The sublattice of the lattice of π-normal Fitting classes
• On normal Fitting classes
• On the distributivity of the lattice of solvable totally local Fitting classes

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