On the nilpotency class of a generalized 3-Abelian group.

DOI10.1007/s00009-013-0264-2zbMath1283.20023OpenAlexW2140370547WikidataQ59299406 ScholiaQ59299406MaRDI QIDQ358220

Meriem Hamitouche, Bounabi Daoud, Khalissa Merikhi

Publication date: 16 August 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-013-0264-2

zbMATH Keywords

nilpotent groups3-nilpotent groupsgeneralized 3-Abelian groupsnilpotency classespolynomial endomorphisms

Mathematics Subject Classification ID

Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Engel conditions (20F45)

Uses Software

• GAP
• Magma
• NQ

Cites Work

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• The Magma algebra system. I: The user language
• Generalized \(n\)-Abelian groups.
• On the theory of n-nilpotent groups
• Groups in which Raising to a Power is an Automorphism
• On the H p -Problem for Finite p-Groups
• Factorization of n-Soluble and n-Nilpotent Groups

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