A non-finitely based variety of groups which is finitely based as a torsion-free variety

DOI10.1515/JGT.2009.007zbMath1185.20032OpenAlexW2085050802MaRDI QIDQ3184189

Alexei Krasilnikov

Publication date: 13 October 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2009.007

zbMATH Keywords

varieties of groupsbases of identitiesverbal subgroupsfinitely based varietiestorsion-free varieties

Mathematics Subject Classification ID

Quasivarieties and varieties of groups (20E10)

Cites Work

• Finite basis property of identities of associative algebras
• Identical relations in finite groups
• THE IDENTITIES OF A GROUP WITH NILPOTENT COMMUTATOR SUBGROUP ARE FINITELY BASED
• METANILPOTENT VARIETIES WITHOUT TORSION AND VARIETIES OF GROUPS OF PRIME POWER EXPONENT
• Uncountably many Varieties of Groups
• ON THE PROBLEM OF A FINITE BASIS OF IDENTITIES IN GROUPS