The commutator width of some relatively free Lie algebras and nilpotent groups

DOI10.1134/S0037446616040108zbMath1378.17013WikidataQ115248434 ScholiaQ115248434MaRDI QIDQ345259

Vitaliĭ Roman'kov

Publication date: 1 December 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

elementary equivalencecommutator widthfree (\(\mathbb{Q}\)-power nilpotent, metabelian, nilpotent, metabelian nilpotent) groupfree (solvable, metabelian, nilpotent, metabelian nilpotent) Lie algebrafree (solvable, metabelian, nilpotent, metabelian nilpotent) Lie ring

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Nilpotent groups (20F18) Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12)

Related Items (6)

Zero-divisors and idempotents in quandle rings ⋮ Elementary equivalence of partially commutative Lie rings and algebras ⋮ Unnamed Item ⋮ Bracket width of simple Lie algebras ⋮ Solvability of equations in classes of solvable groups and Lie algebras ⋮ On groups where the twisted conjugacy class of the unit element is a subgroup

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