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Extraction of Small Rank Unipotent Elements in GL(4, K). / Nesterov, V.

в: Journal of Mathematical Sciences (United States), Том 264, № 1, 28.06.2022, стр. 86-95.

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Harvard

Nesterov, V 2022, 'Extraction of Small Rank Unipotent Elements in GL(4, K)', Journal of Mathematical Sciences (United States), Том. 264, № 1, стр. 86-95. https://doi.org/10.1007/s10958-022-05982-x

APA

Nesterov, V. (2022). Extraction of Small Rank Unipotent Elements in GL(4, K). Journal of Mathematical Sciences (United States), 264(1), 86-95. https://doi.org/10.1007/s10958-022-05982-x

Vancouver

Nesterov V. Extraction of Small Rank Unipotent Elements in GL(4, K). Journal of Mathematical Sciences (United States). 2022 Июнь 28;264(1):86-95. https://doi.org/10.1007/s10958-022-05982-x

Author

Nesterov, V. / Extraction of Small Rank Unipotent Elements in GL(4, K). в: Journal of Mathematical Sciences (United States). 2022 ; Том 264, № 1. стр. 86-95.

BibTeX

@article{54a406a741a545109646f9d11c14f366,
title = "Extraction of Small Rank Unipotent Elements in GL(4, K)",
abstract = "Let K be a field with at least 19 elements. It is proved that any subgroup of GL(4, K) generated by a pair of 2-tori contains unipotent elements of rank 1 or 2. Taking into account previous papers of N. A. Vavilov and the author, this result is valid for any general linear group. It is one of the first steps in studying subgroups generated by a pair of microweight tori in Chevalley groups.",
author = "V. Nesterov",
note = "Publisher Copyright: {\textcopyright} 2022, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2022",
month = jun,
day = "28",
doi = "10.1007/s10958-022-05982-x",
language = "English",
volume = "264",
pages = "86--95",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Extraction of Small Rank Unipotent Elements in GL(4, K)

AU - Nesterov, V.

N1 - Publisher Copyright: © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

PY - 2022/6/28

Y1 - 2022/6/28

N2 - Let K be a field with at least 19 elements. It is proved that any subgroup of GL(4, K) generated by a pair of 2-tori contains unipotent elements of rank 1 or 2. Taking into account previous papers of N. A. Vavilov and the author, this result is valid for any general linear group. It is one of the first steps in studying subgroups generated by a pair of microweight tori in Chevalley groups.

AB - Let K be a field with at least 19 elements. It is proved that any subgroup of GL(4, K) generated by a pair of 2-tori contains unipotent elements of rank 1 or 2. Taking into account previous papers of N. A. Vavilov and the author, this result is valid for any general linear group. It is one of the first steps in studying subgroups generated by a pair of microweight tori in Chevalley groups.

UR - http://www.scopus.com/inward/record.url?scp=85132882292&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/f3580abd-b7f7-385c-bb3c-522a2e7404a1/

U2 - 10.1007/s10958-022-05982-x

DO - 10.1007/s10958-022-05982-x

M3 - Article

AN - SCOPUS:85132882292

VL - 264

SP - 86

EP - 95

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 98120923