Groups of prime-power order with a small second derived quotient.

DOI10.1016/S0021-8693(03)00294-1zbMath1036.20021arXivmath/0301078OpenAlexW2073662418MaRDI QIDQ1406762

Csaba Schneider

Publication date: 7 September 2003

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

Full work available at URL: https://arxiv.org/abs/math/0301078

zbMATH Keywords

finite \(p\)-groupscommutatorscentral productsderived subgroupssecond derived subgroups

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Commutator calculus (20F12)

Related Items (4)

Finite 𝒟C-groups ⋮ Nilpotent Lie Algebras with a Small Second Derived Quotient¹ ⋮ The derived series of a finite \(p\)-group. ⋮ ELATION GENERALIZED QUADRANGLES FOR WHICH THE NUMBER OF LINES ON A POINT IS THE SUCCESSOR OF A PRIME

Uses Software

• GAP
• Magma

Cites Work

• On a special class of \(p\)-groups
• Groups of prime power order with derived subgroup of prime order
• The Magma algebra system. I: The user language
• The derived length of \(p\)-groups
• The derived group of a 2-group
• On the soluble length of groups with prime-power order
• APPLICATION OF COMPUTERS TO QUESTIONS LIKE THOSE OF BURNSIDE, II
• A Contribution to the Theory of Groups of Prime-Power Order
• Endliche Gruppen I
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