Which words spell ``almost nilpotent?

DOI10.1006/jabr.1999.7922zbMath0955.20013OpenAlexW2088356135MaRDI QIDQ1965252

Sarah Black

Publication date: 23 November 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7922

zbMATH Keywords

finite groupsefficient lawsefficient words

Mathematics Subject Classification ID

Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15) Quasivarieties and varieties of groups (20E10)

Related Items (8)

Which Words have an Efficient Result? ⋮ On the commuting probability for subgroups of a finite group ⋮ Bounds for nilpotent-by-finite groups in certain varieties ⋮ How to Tell if a Group Law Entails Virtual Nilpotence: Postscript ⋮ Bounding the order of a verbal subgroup in a residually finite group ⋮ Words and Almost Nilpotent Varieties of Groups^# ⋮ On bounded conciseness of Engel-like words in residually finite groups ⋮ Words of Engel type are concise in residually finite groups

Cites Work

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• Some applications of the first cohomology group
• A finitary Tits' alternative
• Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties
• Combinatorial conditions in residually finite groups. I
• Combinatorial conditions in residually finite groups. II
• On periodic compact groups
• ON SOME PROBLEMS OF GROUP THEORY AND LIE ALGEBRAS
• Two-Generator conditions for Residually Finite Groups
• Weak Maximality Condition and Polycyclic Groups
• Milnor identities
• Varieties and simple groups

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