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An explicit presentation of relative Steinberg groups. / Voronetsky, Egor.

In: Journal of Algebra, Vol. 602, 15.07.2022, p. 278-299.

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

Harvard

Voronetsky, E 2022, 'An explicit presentation of relative Steinberg groups', Journal of Algebra, vol. 602, pp. 278-299. https://doi.org/10.1016/j.jalgebra.2022.03.021

APA

Voronetsky, E. (2022). An explicit presentation of relative Steinberg groups. Journal of Algebra, 602, 278-299. https://doi.org/10.1016/j.jalgebra.2022.03.021

Vancouver

Voronetsky E. An explicit presentation of relative Steinberg groups. Journal of Algebra. 2022 Jul 15;602:278-299. https://doi.org/10.1016/j.jalgebra.2022.03.021

Author

Voronetsky, Egor. / An explicit presentation of relative Steinberg groups. In: Journal of Algebra. 2022 ; Vol. 602. pp. 278-299.

BibTeX

@article{afb92b3c8c7749408bdb55b4f53da6e3,
title = "An explicit presentation of relative Steinberg groups",
abstract = "We find an explicit presentation of relative linear Steinberg groups St(n,R,I) for any ring R and n≥4 by generators and relations as abstract groups. We also prove a similar result for relative simply laced Steinberg groups St(Φ;R,I) for commutative R and the root system Φ of type A, D, or E.",
keywords = "Relative Steinberg groups",
author = "Egor Voronetsky",
year = "2022",
month = jul,
day = "15",
doi = "10.1016/j.jalgebra.2022.03.021",
language = "English",
volume = "602",
pages = "278--299",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - An explicit presentation of relative Steinberg groups

AU - Voronetsky, Egor

PY - 2022/7/15

Y1 - 2022/7/15

N2 - We find an explicit presentation of relative linear Steinberg groups St(n,R,I) for any ring R and n≥4 by generators and relations as abstract groups. We also prove a similar result for relative simply laced Steinberg groups St(Φ;R,I) for commutative R and the root system Φ of type A, D, or E.

AB - We find an explicit presentation of relative linear Steinberg groups St(n,R,I) for any ring R and n≥4 by generators and relations as abstract groups. We also prove a similar result for relative simply laced Steinberg groups St(Φ;R,I) for commutative R and the root system Φ of type A, D, or E.

KW - Relative Steinberg groups

UR - http://www.scopus.com/inward/record.url?scp=85127484504&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2022.03.021

DO - 10.1016/j.jalgebra.2022.03.021

M3 - Article

AN - SCOPUS:85127484504

VL - 602

SP - 278

EP - 299

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 126320995