THE SOLUBLE SUBGROUPS AND THE TITS ALTERNATIVE IN LINEAR-GROUPS OVER RINGS OF FRACTIONS OF POLYCYCLIC GROUP-RINGS .1.

Authors
LICHTMAN AI
Citation
Ai. Lichtman, THE SOLUBLE SUBGROUPS AND THE TITS ALTERNATIVE IN LINEAR-GROUPS OVER RINGS OF FRACTIONS OF POLYCYCLIC GROUP-RINGS .1., Journal of pure and applied algebra, 86(3), 1993, pp. 231-287
Citations number
38
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
86
Issue
3
Year of publication
1993
Pages
231 - 287
Database
ISI
SICI code
0022-4049(1993)86:3<231:TSSATT>2.0.ZU;2-G
Abstract
Let KH be a group ring of a polycyclic-by-finite group and let R be it s Goldie ring of fractions. In this first paper in a series of two we study the soluble subgroups of the linear group GL(n)(R) and show in p articular that there exists a bound for their solubility class; we wil l show in the second paper that the subgroups of GL(n)(R) satisfy the Tits alternative.