Finite groups with submodular Sylow subgroups

DOI10.1134/S0037446615060063zbMath1355.20017MaRDI QIDQ259828

Vladimir Aleksandrovich Vasil'ev

Publication date: 18 March 2016

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

zbMATH Keywords

finite groupmodular subgroupsaturated formationsubmodular subgroupSylow tower group

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) Series and lattices of subgroups (20D30)

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Cites Work

• Unnamed Item
• Unnamed Item
• On the finite groups of supersoluble type.
• Über Produkte von nilpotenten Gruppen
• Produkte nilpotenter Gruppen
• Submodular subgroups in finite groups
• Finite soluble groups
• Products of finite nilpotent groups
• Subgroup lattices of groups
• On K-\(\mathbb P\)-subnormal subgroups of finite groups.
• Modulare Untergruppen endlicher Gruppen
• Endliche Gruppen I