RESTRICTED LIE ALGEBRAS OF POLYCYCLIC GROUPS

DOI10.1142/S0219498806001892zbMath1120.20038arXiv1206.5534WikidataQ115245710 ScholiaQ115245710MaRDI QIDQ3421578

A. I. Lichtman

Publication date: 7 February 2007

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

Full work available at URL: https://arxiv.org/abs/1206.5534

zbMATH Keywords

polycyclic groupsrestricted Lie algebras\(p\)-seriesfree Abelian Lie algebras

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Groups acting on trees (20E08) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Associated Lie structures for groups (20F40)

Cites Work

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• Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings. I
• Torsion-free soluble groups, completions, and the zero divisor conjecture
• The residual nilpotency of the augmentation ideal and the residual nilpotency of some classes of groups
• A just-nonsolvable torsion-free group defined on the binary tree
• Valuation methods in group rings and in skew fields. I
• Homotopical algebra

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