On the generalized \(\sigma\)-Fitting subgroup of finite groups

DOI10.4171/RSMUP/13zbMath1472.20028OpenAlexW2900485929MaRDI QIDQ2313572

Jianhong Huang, Bin Hu, Alexander N. Skiba

Publication date: 19 July 2019

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/13

zbMATH Keywords

finite group\(\sigma\)-nilpotent group\(\sigma\)-Fitting subgroup\(\sigma\)-quasinilpotent groupgeneralized \(\sigma\)-Fitting subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

Finite groups with \(\sigma \)-abnormal Schmidt subgroups ⋮ On Baer-σ-local formations of finite groups ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Groups with only {\(\sigma\)}-semipermutable and {\(\sigma\)}-abnormal subgroups
• On the lattice of \(\mathcal F\)-subnormal subgroups
• Finite soluble groups
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
• Finite groups with permutable complete Wielandt sets of subgroups.
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• On \(\tau_\sigma\)-quasinormal subgroups of finite groups
• On \(\Pi \)-quasinormal subgroups of finite groups
• The nilpotent \(\pi\)-length of maximal subgroups in finite \(\pi\)-soluble groups.
• Finite groups all of whose subgroups are σ-subnormal or σ-abnormal
• Classes of Finite Groups
• Endliche Gruppen I

This page was built for publication: On the generalized \(\sigma\)-Fitting subgroup of finite groups