Standard

Stability for quadratic K1. / Bak, Anthony; Petrov, Viktor; Guoping, Tang.

в: K-Theory, Том 30, № 1, 2003, стр. 1-11.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Bak, A, Petrov, V & Guoping, T 2003, 'Stability for quadratic K1', K-Theory, Том. 30, № 1, стр. 1-11. https://doi.org/10.1023/B:KTHE.0000015340.00470.a9

APA

Bak, A., Petrov, V., & Guoping, T. (2003). Stability for quadratic K1. K-Theory, 30(1), 1-11. https://doi.org/10.1023/B:KTHE.0000015340.00470.a9

Vancouver

Bak A, Petrov V, Guoping T. Stability for quadratic K1. K-Theory. 2003;30(1):1-11. https://doi.org/10.1023/B:KTHE.0000015340.00470.a9

Author

Bak, Anthony ; Petrov, Viktor ; Guoping, Tang. / Stability for quadratic K1. в: K-Theory. 2003 ; Том 30, № 1. стр. 1-11.

BibTeX

@article{d4b176fd4fa84eb590367b6decc6f4e3,
title = "Stability for quadratic K1",
abstract = "The general quadratic group GQ2n and its elementary subgroup EQ2n are analogs in the theory of quadratic forms of the general linear group GLn and its elementary subgroup En. This article proves that the stabilization map GQ2n/EQ2n → GQ(2n+1)/EQ2(n+1) is an isomorphism whenever n ≥ ΛS + 1 and ΛS denotes the Λ-stable rank of rings with anti-involution. As a corollary, a result is obtained which has been anticipated since the late 1960s: over rings of finite Bass-Serre dimension d, the stabilization map is an isomorphism whenever n ≥ d + 2.",
keywords = "Λ-stable range condition, Quadratic forms, Stability",
author = "Anthony Bak and Viktor Petrov and Tang Guoping",
year = "2003",
doi = "10.1023/B:KTHE.0000015340.00470.a9",
language = "English",
volume = "30",
pages = "1--11",
journal = "K-Theory",
issn = "0920-3036",
publisher = "Wolters Kluwer",
number = "1",

}

RIS

TY - JOUR

T1 - Stability for quadratic K1

AU - Bak, Anthony

AU - Petrov, Viktor

AU - Guoping, Tang

PY - 2003

Y1 - 2003

N2 - The general quadratic group GQ2n and its elementary subgroup EQ2n are analogs in the theory of quadratic forms of the general linear group GLn and its elementary subgroup En. This article proves that the stabilization map GQ2n/EQ2n → GQ(2n+1)/EQ2(n+1) is an isomorphism whenever n ≥ ΛS + 1 and ΛS denotes the Λ-stable rank of rings with anti-involution. As a corollary, a result is obtained which has been anticipated since the late 1960s: over rings of finite Bass-Serre dimension d, the stabilization map is an isomorphism whenever n ≥ d + 2.

AB - The general quadratic group GQ2n and its elementary subgroup EQ2n are analogs in the theory of quadratic forms of the general linear group GLn and its elementary subgroup En. This article proves that the stabilization map GQ2n/EQ2n → GQ(2n+1)/EQ2(n+1) is an isomorphism whenever n ≥ ΛS + 1 and ΛS denotes the Λ-stable rank of rings with anti-involution. As a corollary, a result is obtained which has been anticipated since the late 1960s: over rings of finite Bass-Serre dimension d, the stabilization map is an isomorphism whenever n ≥ d + 2.

KW - Λ-stable range condition

KW - Quadratic forms

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=3543002915&partnerID=8YFLogxK

U2 - 10.1023/B:KTHE.0000015340.00470.a9

DO - 10.1023/B:KTHE.0000015340.00470.a9

M3 - Article

AN - SCOPUS:3543002915

VL - 30

SP - 1

EP - 11

JO - K-Theory

JF - K-Theory

SN - 0920-3036

IS - 1

ER -

ID: 33288851