On questions posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in finite group theory

DOI10.1134/S000143462211027XOpenAlexW4313365467MaRDI QIDQ2680741

Viachaslau I. Murashka

Publication date: 4 January 2023

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

Full work available at URL: https://doi.org/10.1134/s000143462211027x

zbMATH Keywords

distributive latticefinite groupsaturated formationsolvably saturated formation\( \mathfrak{F} \)-hypercentercentrally saturated formation

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Special aspects of infinite or finite groups (20Fxx) Abstract finite groups (20Dxx)

Cites Work

• \(\mathfrak G\)-separability of the lattice of \(\tau\)-closed totally saturated formations.
• Finite soluble groups
• The Frattini module
• Nonabelian crowns and Schunck classes of finite groups
• On two problems from the Kourovka notebook
• On the \(\sigma \)-nilpotent hypercenter of finite groups
• Finite groups with three nonconjugate maximal formational subgroups
• Formations and products of \(F(G)\)-subnormal subgroups of finite solvable groups
• Fitting formations of finite soluble groups
• Structure Theory for Canonical Classes of Finite Groups
• On Lattices of Formations of Finite Groups
• On a theorem of Bryce and Cossey
• On Lattices of p -Local Formations of Finite Groups
• Frattini extensions of finite groups and formations¹
• Lattices of composition formations of finite groups and the laws
• On a question of l. a. shemetkov
• A note on solubly saturated formations of finite groups
• On Modularity of the Lattice of Totally Saturated Formations of Finite Groups
• Classes of Finite Groups
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