A COMBINATORIAL PROPERTY OF BURNSIDE VARIETY OF GROUPS OF FINITE EXPONENT

DOI10.1142/S0219498809003680zbMath1193.20030MaRDI QIDQ5851766

Asadollah Faramarzi Salles, Hassan Khosravi

Publication date: 25 January 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

varieties of groupsexponentscombinatorial conditions on infinite subsetsgroup wordsBurnside varietiescombinatorial conditions on infinite groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Special aspects of infinite or finite groups (20F99) Quasivarieties and varieties of groups (20E10)

Cites Work

• A characterization of infinite \(3\)-Abelian groups
• A characterization of third Engel groups
• Infinite groups in a given variety and ramsey's theorem
• Some Engel conditions on infinite subsets of certain groups
• A condition on finitely generated soluble groups
• A combinatorial condition on a certain variety of groups