The derived length of \(p\)-groups

DOI10.1006/jabr.1998.8045zbMath0953.20008OpenAlexW2077587309MaRDI QIDQ1975150

Avinoam Mann

Publication date: 24 October 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.8045

zbMATH Keywords

finite \(p\)-groupsderived lengthsproducts of groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Products of subgroups of abstract finite groups (20D40)

Related Items (11)

The character degree ratio and large abelian subgroups ⋮ The derived series of a finite \(p\)-group. ⋮ Groups of prime-power order with a small second derived quotient. ⋮ Derived length of finite groups with restrictions on Sylow subgroups. ⋮ On finite soluble groups of fixed rank. ⋮ On the derived length of finite, graded Lie rings with prime-power order, and groups with prime-power order ⋮ A Note on a Class of Factorized p-Groups ⋮ LARGE P-GROUPS WITHOUT PROPER SUBGROUPS WITH THE SAME DERIVED LENGTH ⋮ Character degrees in blocks and defect groups ⋮ Factorizations of groups and related topics. ⋮ Some unsolvable conjectures in finite \(p\)-groups

Cites Work

• Unnamed Item
• Unnamed Item
• On a special class of \(p\)-groups
• A note on factorized (finite) \(p\)-groups
• The derived group of a 2-group
• On the soluble length of groups with prime-power order
• On The Derived Length of Finite Dinilpotent Groups
• Endliche Gruppen I
• On products of nilpotent groups

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