On normal subgroups of multiplicative group of skew fields generated by a polycyclic-by-finite group

DOI10.1016/0021-8693(82)90095-3zbMath0498.16016OpenAlexW2007437821MaRDI QIDQ1171115

A. I. Lichtman

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90095-3

zbMATH Keywords

division ringsrings of fractionsgroup algebras of torsion free polycyclic-by-finite groupsnon-central normal subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Units, groups of units (associative rings and algebras) (16U60) Division rings and semisimple Artin rings (16Kxx)

Related Items

Are there free groups in division rings?, Free subgroups in linear groups over some skew fields, A Survey on Free Objects in Division Rings and in Division Rings with an Involution, 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, On free group algebras in division rings with uncountable center, Free \(^*\)-subalgebras of C\(^*\)-algebras, Linear groups, Associative rings, The soluble subgroups and the Tits alternative in linear groups over rings of fractions of polycyclic group rings. I, Trace Functions in the Ring of Fractions of Polycyclic Group Rings, Free groups in normal subgroups of the multiplicative group of a division ring., On free subgroups in division rings, Free group algebras in the field of fractions of differential polynomial rings and enveloping algebras, A Note on Free Groups in the Ring of Fractions of Skew Polynomial Rings, Free products of units in algebras. I: Quaternion algebras, The elements of finite order in the group of units of group rings of free products of groups, Explicit free groups in division rings, On linear groups over a field of fractions of a polycyclic group ring, A commutativity theorem for division rings and an extension of a result of Faith, On division rings generated by polycyclic groups, On matrix rings and linear groups over fields of fractions of group rings and enveloping algebras. II

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