๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Generation of special linear groups by transvections

โœ Scribed by Stephen P. Humphries


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
895 KB
Volume
99
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Groups Generated by Symplectic Transvect
โœ Hiroyuki Ishibashi ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 335 KB

Let R be a commutative local ring with the unique maximal ideal A. Let V be a ลฝ . free module of rank n over R. And let Sp V be the symplectic group on V with n an alternating bilinear form f : V = V ยช R. We study the generation of a subgroup author's conjecture in ''Generators and Relations in Gro

Presentations of the Special and General
โœ T.A. Francis ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 691 KB

If \(R\) is a division ring and \(n \geq 2\), then we give an elegant, basis free, presentation for the general linear group \(G L_{n}(R)\) in terms of transvections and dilations. In case \(R\) is a field, we give a similar presentation for \(S L_{n}(R)\), but now purely in terms of transvections.