On the 4-permutational property

DOI10.1007/BF01195100zbMath0623.20022OpenAlexW2063707266MaRDI QIDQ1091466

Rolf Brandl, Anna Gillio Berta Mauri, Mariagrazia Bianchi

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195100

zbMATH Keywords

finite groupSylow 2- subgroupssoluble4-permutational propertyclass \(P_ 4\)

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) Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Commutator calculus (20F12) FC-groups and their generalizations (20F24)

Related Items

On groups in which every product of four elements can be reordered ⋮ On the derived length of groups with some permutational property ⋮ Rewriting products of group elements. I ⋮ The classification of groups in which every product of four elements can be reordered ⋮ Characterization of Abelian-by-cyclic \(3\)-rewritable groups. ⋮ Rewriting products of group elements. II ⋮ Rewritable groups. ⋮ General bounds for permutability in finite groups ⋮ Some remarks on groups with permutable subgroup products ⋮ Some remarks on \(P_ n\)-sequenceable groups

Cites Work

• Unnamed Item
• Unnamed Item
• A permutational property of groups
• Zur Theorie der untergruppenabgeschlossenen Formationen: Endliche Varietäten
• Extreme classes of finite soluble groups
• Varieties and simple groups
• Nonsolvable finite groups all of whose local subgroups are solvable