On a Finite Group Having a Normal Series Whose Factors Have Bicyclic Sylow Subgroups

DOI10.1080/00927872.2010.498393zbMath1245.20019arXiv0912.2685OpenAlexW2253841795MaRDI QIDQ3103904

Victor S. Monakhov, Alexander Trofimuk

Publication date: 19 December 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2685

zbMATH Keywords

finite solvable groupsderived lengthsnilpotent lengthsnormal series\(A_4\)-free groupsbicyclic Sylow subgroupsproducts of cyclic 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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

On the supersolubility of a group with some tcc-subgroups

Cites Work

• On maximal and Sylow subgroups of finite solvable groups.
• Über das Produkt von paarweise vertauschbaren zyklischen Gruppen
• Endliche Gruppen I
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