Groups with a positive law on commutators.

DOI10.1016/J.JPAA.2004.06.011zbMath1070.20033OpenAlexW1982710485MaRDI QIDQ1764822

David M. Riley, P. V. Shumyatskij

Publication date: 22 February 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.06.011

zbMATH Keywords

Engel conditionspositive lawssemigroup lawsresidually finite \(p\)-groups\(n\)-collapsing groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12) Associated Lie structures for groups (20F40)

Related Items (1)

Positive laws on word values in residually-\(p\) groups.

Cites Work

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• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• On groups with commutators of bounded order
• Endliche Gruppen I

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