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THE IDENTITIES OF A GROUP WITH NILPOTENT COMMUTATOR SUBGROUP ARE FINITELY BASED

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Publication:3970446
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DOI10.1070/IM1991v037n03ABEH002158zbMath0739.20008OpenAlexW2021068414MaRDI QIDQ3970446

Alexei Krasilnikov

Publication date: 25 June 1992

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1991v037n03abeh002158

zbMATH Keywords

finite basisidentities of algebrasgroup varietiesnilpotent-by-Abelian groupvarieties of group representation


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Solvable groups, supersolvable groups (20F16) Quasivarieties and varieties of groups (20E10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)


Related Items

A non-finitely based variety of groups which is finitely based as a torsion-free variety, A classification of some unsoluble varieties of groups of exponent four, Symmetric polynomials and nonfinitely generated \(\mathrm{Sym}(\mathbb{N})\)-invariant ideals



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