Groups of class \(2n\) in which all proper subgroups have class at most \(n\)

DOI10.1016/j.jalgebra.2017.11.028zbMath1390.20039OpenAlexW2773766702MaRDI QIDQ1694578

Bryan G. Sandor, Martin J. Evans

Publication date: 6 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.11.028

zbMATH Keywords

nilpotent groupsnilpotent Lie algebras

Mathematics Subject Classification ID

Nilpotent groups (20F18) Solvable, nilpotent (super)algebras (17B30) Derived series, central series, and generalizations for groups (20F14)

Related Items

Nilpotent Lie algebras in which all proper subalgebras have class at most \(n\)

Cites Work

• Lie elements in the tensor algebra
• Stably nilpotent groups
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• A bound for the class of certain nilpotent groups
• Groups with many nilpotent subgroups
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