On the structure of the special linear group over polynomial rings

A. A. Suslin

doi:10.1070/IM1977v011n02ABEH001709

On the structure of the special linear group over polynomial rings

A. A. Suslin

Mathematics

Research output: Contribution to journal › Article › peer-review

178 Scopus citations

Abstract

It is proved that the special linear group of degree not less than three over the polynomial ring over a field is generated by the elementary matrices. Other results are obtained that relate to the structure of the special linear group and stabilization of the general linear group over arbitrary polynomial and Laurent rings.

Original language	English (US)
Pages (from-to)	221-238
Number of pages	18
Journal	Mathematics of the USSR - Izvestija
Volume	11
Issue number	2
DOIs	https://doi.org/10.1070/IM1977v011n02ABEH001709
State	Published - Apr 30 1977

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1070/IM1977v011n02ABEH001709

Cite this

@article{ffc1f1cea7ba45169235d5e18762f8eb,

title = "On the structure of the special linear group over polynomial rings",

abstract = "It is proved that the special linear group of degree not less than three over the polynomial ring over a field is generated by the elementary matrices. Other results are obtained that relate to the structure of the special linear group and stabilization of the general linear group over arbitrary polynomial and Laurent rings.",

author = "Suslin, {A. A.}",

year = "1977",

month = apr,

day = "30",

doi = "10.1070/IM1977v011n02ABEH001709",

language = "English (US)",

volume = "11",

pages = "221--238",

journal = "Mathematics of the USSR - Izvestija",

issn = "0025-5726",

publisher = "IOP Publishing Ltd.",

number = "2",

}

TY - JOUR

T1 - On the structure of the special linear group over polynomial rings

AU - Suslin, A. A.

PY - 1977/4/30

Y1 - 1977/4/30

N2 - It is proved that the special linear group of degree not less than three over the polynomial ring over a field is generated by the elementary matrices. Other results are obtained that relate to the structure of the special linear group and stabilization of the general linear group over arbitrary polynomial and Laurent rings.

AB - It is proved that the special linear group of degree not less than three over the polynomial ring over a field is generated by the elementary matrices. Other results are obtained that relate to the structure of the special linear group and stabilization of the general linear group over arbitrary polynomial and Laurent rings.

UR - http://www.scopus.com/inward/record.url?scp=84911625640&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84911625640&partnerID=8YFLogxK

U2 - 10.1070/IM1977v011n02ABEH001709

DO - 10.1070/IM1977v011n02ABEH001709

M3 - Article

AN - SCOPUS:84911625640

SN - 0025-5726

VL - 11

SP - 221

EP - 238

JO - Mathematics of the USSR - Izvestija

JF - Mathematics of the USSR - Izvestija

IS - 2

ER -

On the structure of the special linear group over polynomial rings

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this