The sublattice of the lattice of π-normal Fitting classes

DOI10.1142/S0219498820501054zbMath1506.20032OpenAlexW2941313793WikidataQ114614660 ScholiaQ114614660MaRDI QIDQ3298349

Nanying Yang, A. V. Martsinkevich, Sh. Zhao, Nikolay T. Vorob'ev

Publication date: 14 July 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820501054

zbMATH Keywords

Fitting classlattice of Fitting classes\(\pi\)-normal Fitting class

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

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

Cites Work

• Finite \(\pi\)-groups with normal injectors.
• Finite soluble groups
• On products and normal fitting classes
• The join of two Fitting classes
• Radical classes of finite groups with the Lockett conditions
• The Fitting class \({\mathfrak F}^*\)
• Über normale Schunck- und Fittingklassen
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Structure Theory for Canonical Classes of Finite Groups
• On normal Fitting classes

This page was built for publication: The sublattice of the lattice of π-normal Fitting classes