GROUPS WITH ABELIAN SYLOW SUBGROUPS

DOI10.1017/S1446788709000184zbMath1202.20023MaRDI QIDQ5189633

Rolf Brandl

Publication date: 17 March 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite soluble groupscommutatorsAbelian Sylow subgroups\(p\)-elementsarithmetical conditions

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) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12)

Related Items (2)

Profinite groups with abelian Sylow subgroups ⋮ The nonvanishing first Hochschild cohomology of twisted finite simple group algebras

Cites Work

• Unnamed Item
• Recognising the Suzuki groups in their natural representations.
• Primitive auflösbare Permutationsgruppen
• Commutators and Π-Subgroups
• On groups with commutators of bounded order
• The derived subgroup of a group with commutators of bounded order can be non-periodic
• Endliche Gruppen I

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