Matrix rings and linear groups over a field of fractions of enveloping algebras and group rings. I

DOI10.1016/0021-8693(84)90087-5zbMath0536.16023OpenAlexW2015767405MaRDI QIDQ791615

A. I. Lichtman

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90087-5

zbMATH Keywords

Lie algebraJacobson radicaluniversal enveloping algebraPI-algebraJordan functionfinitely generated subringdivision rings of fractions of group ringsnilpotent-by-finite subgroupnoncentral normal subgroupnoncyclic free subgroupOre ringsolvable residually torsion free nilpotent groupsum of nilpotent elementstorsion free polycyclic-by-finite group

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Universal enveloping (super)algebras (17B35) Nilpotent groups (20F18) Other matrix groups over rings (20H25) Local properties of groups (20E25) Localization and associative Noetherian rings (16P50) Division rings and semisimple Artin rings (16Kxx)

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