On identities in the products of group varieties

DOI10.1142/S0218196715500083zbMath1331.20036arXiv1408.1521OpenAlexW2161340025MaRDI QIDQ5252311

Nicholas S. Boatman, Alexander Yu. Ol'shanskii

Publication date: 29 May 2015

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1521

zbMATH Keywords

periodic groupsvarieties of groupsbases of identitiesgroup identitiesproducts of varietiesaxiomatic ranksBurnside varietiesnon-finitely based varietiesinfinite \(p\)-groupsbasis ranks

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Quasivarieties and varieties of groups (20E10)

Related Items (1)

Local finiteness for Green’s relations in semigroup varieties

Cites Work

• Unnamed Item
• On finite and locally finite subgroups of free Burnside groups of large even exponents
• Combinatorial group theory.
• On varieties generated by a finitely generated group
• On the laws of a metabelian variety
• Identical relations in finite groups
• Wreath products and extensions
• Identical relations in groups. I
• Some infinitely based varieties of groups
• On a Theorem Of Baer and Higman
• Uncountably many Varieties of Groups

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