Free subgroups in linear groups over some skew fields

DOI10.1016/0021-8693(87)90177-3zbMath0604.20052OpenAlexW2077473401MaRDI QIDQ1083548

A. I. Lichtman

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90177-3

zbMATH Keywords

group algebrauniversal enveloping algebraderived lengthskew linear groupsfinite dimensional Lie algebrafree metabelian groupsoluble subgroupdivision ring of quotientssubgroup of GL(n,D)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Universal enveloping (super)algebras (17B35) Other matrix groups over rings (20H25) Division rings and semisimple Artin rings (16Kxx)

Related Items

On Embedding of Group Rings of Residually Torsion Free Nilpotent Groups into Skew Fields ⋮ On PI-subrings of matrix rings over some classes of skew fields ⋮ Some skew linear groups associated with Lie algebras of characteristic zero ⋮ Free subgroups in almost subnormal subgroups of general skew linear groups ⋮ Some matrix groups over finite-dimensional division algebras ⋮ The soluble subgroups and the Tits alternative in linear groups over rings of fractions of polycyclic group rings. I ⋮ On universal fields of fractions for free algebras ⋮ Valuation methods in group rings and in skew fields. I

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