The Jordan-Hölder theorem and prefrattini subgroups of finite groups

DOI10.1017/S0017089500031554zbMath0837.20023MaRDI QIDQ4855822

Adolfo Ballester-Bolinches, Luis M. Ezquerro

Publication date: 14 December 1995

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

zbMATH Keywords

modular latticessolvable groupsprefrattini subgroupsJordan-Hölder Theoremmonolithic maximal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Modular lattices, Desarguesian lattices (06C05)

Related Items (4)

Prefrattini subgroups and crowns ⋮ On certain distributive lattices of subgroups of finite soluble groups. ⋮ Complementation and chief factors ik finite groups-II ⋮ Complementation and chief factors in finite groups

Cites Work

• Pre-Frattini groups.
• Finite soluble groups
• Die Praefrattinigruppe im Intervall eines Untergruppenverbandes. (The prefrattini group in the interval of a subgroup lattice)
• Pseudo-Frattini subgroups
• Extreme classes of finite soluble groups
• Moduln und verschränkte Homomorphismen endlicher Gruppen.
• Chief factors, crowns, and the generalized Jordan-hölder theorem
• Prefrattini Subgroups and Cover-Avoidance Properties in 𝔘-Groups
• On maximal subgroups of finite groups

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