Determination of a finite group by certain subgroups and a solution to Szép's conjecture

DOI10.1007/BF01850287zbMath0659.20019OpenAlexW2006299405WikidataQ123264052 ScholiaQ123264052MaRDI QIDQ1112170

Zvi Arad

Publication date: 1988

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01850287

zbMATH Keywords

classification of the finite simple groups\(\pi \) - structure of the finite groupscriteria of solvabilitysimple factorizable groupsSzép's conjecture

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) Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• On finite factorizable groups
• Über Produkte von nilpotenten Gruppen
• Produkte nilpotenter Gruppen
• A criterion for the existence of normal \(\pi\) -complements in finite groups
• Subgroups of prime power index in a simple group
• On the existence of Hall subgroups
• New criteria for the solvability of finite groups
• A proof of Szep's conjecture on nonsimplicity of certain finite groups
• Theorems Like Sylow's
• Sui gruppi fattorizzabili
• On the solvability of finite groups

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