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Subsystem subgroups of the group of type F4 generated by short root subgroups. / Nesterov, V.

In: St. Petersburg Mathematical Journal, Vol. 31, No. 1, 01.2020, p. 69-80.

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

Harvard

Nesterov, V 2020, 'Subsystem subgroups of the group of type F4 generated by short root subgroups', St. Petersburg Mathematical Journal, vol. 31, no. 1, pp. 69-80. https://doi.org/10.1090/spmj/1585, https://doi.org/10.1090/spmj/1585

APA

Nesterov, V. (2020). Subsystem subgroups of the group of type F4 generated by short root subgroups. St. Petersburg Mathematical Journal, 31(1), 69-80. https://doi.org/10.1090/spmj/1585, https://doi.org/10.1090/spmj/1585

Vancouver

Nesterov V. Subsystem subgroups of the group of type F4 generated by short root subgroups. St. Petersburg Mathematical Journal. 2020 Jan;31(1):69-80. https://doi.org/10.1090/spmj/1585, https://doi.org/10.1090/spmj/1585

Author

Nesterov, V. / Subsystem subgroups of the group of type F4 generated by short root subgroups. In: St. Petersburg Mathematical Journal. 2020 ; Vol. 31, No. 1. pp. 69-80.

BibTeX

@article{1996fd36554241809e1e4ff7fc16794c,
title = "Subsystem subgroups of the group of type F4 generated by short root subgroups",
abstract = "The subsystem subgroups of the Chevalley group of type F4 generated by short root subgroups are found, and the minimal number of such generating subgroups is established. In particular, it is shown that the entire group of type F4 is generated by three short root subgroups, and the groups of type Bl and Cl are generated by l short root subgroups.",
keywords = "Chevalley groups, Short root subgroups, Subsystems subgroups",
author = "V. Nesterov",
year = "2020",
month = jan,
doi = "10.1090/spmj/1585",
language = "English",
volume = "31",
pages = "69--80",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Subsystem subgroups of the group of type F4 generated by short root subgroups

AU - Nesterov, V.

PY - 2020/1

Y1 - 2020/1

N2 - The subsystem subgroups of the Chevalley group of type F4 generated by short root subgroups are found, and the minimal number of such generating subgroups is established. In particular, it is shown that the entire group of type F4 is generated by three short root subgroups, and the groups of type Bl and Cl are generated by l short root subgroups.

AB - The subsystem subgroups of the Chevalley group of type F4 generated by short root subgroups are found, and the minimal number of such generating subgroups is established. In particular, it is shown that the entire group of type F4 is generated by three short root subgroups, and the groups of type Bl and Cl are generated by l short root subgroups.

KW - Chevalley groups

KW - Short root subgroups

KW - Subsystems subgroups

UR - http://www.scopus.com/inward/record.url?scp=85079037935&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/4f43c3f3-662f-3698-a719-c0dd35144326/

U2 - 10.1090/spmj/1585

DO - 10.1090/spmj/1585

M3 - Article

AN - SCOPUS:85079037935

VL - 31

SP - 69

EP - 80

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 1

ER -

ID: 50794923