On 𝓕-subnormal subgroups and Frattini-like subgroups of a finite group

DOI10.1017/S0017089500030780zbMath0820.20023MaRDI QIDQ4306221

María Dolores Pérez-Ramos, Adolfo Ballester-Bolinches

Publication date: 18 October 1994

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

zbMATH Keywords

maximal subgroupssubnormal subgroupssaturated formationsnilpotencysupersoluble groupsFrattini-like subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35) Formations of groups, Fitting classes (20F17)

Related Items (12)

ON GENERALISED PRONORMAL SUBGROUPS OF FINITE GROUPS ⋮ Unnamed Item ⋮ On the \(\pi\mathfrak F\)-norm and the \(\mathfrak H\)-\(\mathfrak F\)-norm of a finite group. ⋮ \(\mathfrak{F}_{\tau}\)-embedded and \(\mathfrak{F}_{\tau\phi}\)-embedded subgroups of finite groups ⋮ On \(\mathfrak F\)-reachable subgroups of finite groups. ⋮ Unnamed Item ⋮ ON CONJUGACY OF SUPPLEMENTS OF NORMAL SUBGROUPS OF FINITE GROUPS ⋮ On generalised subnormal subgroups of finite groups ⋮ On the lattice of \(\mathcal F\)-Dnormal subgroups in finite soluble groups ⋮ On Π-Supplemented Subgroups of a Finite Group ⋮ A generalized Frattini subgroup ⋮ On the crossing of maximal subgroups of finite groups

Cites Work

• Frattini subgroups relative to formation functions
• Finite groups all of whose subgroups are \({\mathcal F}\)-subnormal or \({\mathcal F}\)-subabnormal
• On the intersection of a class of maximal subgroups of a finite group. II
• Finite soluble groups
• The Frattini module
• Maximal subgroups and formations
• Endliche Gruppen I

This page was built for publication: On 𝓕-subnormal subgroups and Frattini-like subgroups of a finite group