K1-theory and the congruence problem

L. N. Vasershtein

doi:10.1007/BF01098314

K₁-theory and the congruence problem

L. N. Vasershtein

Mathematics

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

14 Scopus citations

Abstract

The following results are presented: a) A K₁-functor of a noncommutative ring with unity is a factor of a general linear group with respect to the subgroup of elementary matrices; b) a description is given of all the subgroups of finite index in a special linear group over the order in a field.

Original language	English (US)
Pages (from-to)	141-148
Number of pages	8
Journal	Mathematical Notes of the Academy of Sciences of the USSR
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/BF01098314
State	Published - Feb 1969

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/BF01098314

Cite this

@article{abf59b60813445e69308b65f8067d9b5,

title = "K1-theory and the congruence problem",

abstract = "The following results are presented: a) A K1-functor of a noncommutative ring with unity is a factor of a general linear group with respect to the subgroup of elementary matrices; b) a description is given of all the subgroups of finite index in a special linear group over the order in a field.",

author = "Vasershtein, \{L. N.\}",

year = "1969",

month = feb,

doi = "10.1007/BF01098314",

language = "English (US)",

volume = "5",

pages = "141--148",

journal = "Mathematical Notes of the Academy of Sciences of the USSR",

issn = "0001-4346",

publisher = "Pleiades Publishing",

number = "2",

}

TY - JOUR

T1 - K1-theory and the congruence problem

AU - Vasershtein, L. N.

PY - 1969/2

Y1 - 1969/2

N2 - The following results are presented: a) A K1-functor of a noncommutative ring with unity is a factor of a general linear group with respect to the subgroup of elementary matrices; b) a description is given of all the subgroups of finite index in a special linear group over the order in a field.

AB - The following results are presented: a) A K1-functor of a noncommutative ring with unity is a factor of a general linear group with respect to the subgroup of elementary matrices; b) a description is given of all the subgroups of finite index in a special linear group over the order in a field.

UR - https://www.scopus.com/pages/publications/34250478562

UR - https://www.scopus.com/pages/publications/34250478562#tab=citedBy

U2 - 10.1007/BF01098314

DO - 10.1007/BF01098314

M3 - Article

AN - SCOPUS:34250478562

SN - 0001-4346

VL - 5

SP - 141

EP - 148

JO - Mathematical Notes of the Academy of Sciences of the USSR

JF - Mathematical Notes of the Academy of Sciences of the USSR

IS - 2

ER -

K₁-theory and the congruence problem

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this