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Pairs of Short Root Subgroups in the Chevalley Group of Type G 2. / Нестеров, Владимир Викторович.

In: Journal of Mathematical Sciences, Vol. 120, No. 4, 2004, p. 1630-1641.

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

Harvard

Нестеров, ВВ 2004, 'Pairs of Short Root Subgroups in the Chevalley Group of Type G 2', Journal of Mathematical Sciences, vol. 120, no. 4, pp. 1630-1641. <https://link.springer.com/article/10.1023%2FB%3AJOTH.0000017893.66315.ba#citeas>

APA

Нестеров, В. В. (2004). Pairs of Short Root Subgroups in the Chevalley Group of Type G 2. Journal of Mathematical Sciences, 120(4), 1630-1641. https://link.springer.com/article/10.1023%2FB%3AJOTH.0000017893.66315.ba#citeas

Vancouver

Нестеров ВВ. Pairs of Short Root Subgroups in the Chevalley Group of Type G 2. Journal of Mathematical Sciences. 2004;120(4):1630-1641.

Author

Нестеров, Владимир Викторович. / Pairs of Short Root Subgroups in the Chevalley Group of Type G 2. In: Journal of Mathematical Sciences. 2004 ; Vol. 120, No. 4. pp. 1630-1641.

BibTeX

@article{0aa83a15c49045aaab374f8d4c6d8804,
title = "Pairs of Short Root Subgroups in the Chevalley Group of Type G 2",
abstract = "The paper is devoted to a description of the pairs of unipotent short root subgroups in the Chevalley group of type G2 over a field of characteristic different from 2. Namely, the subgroups generated by a pair of short root subgroups are described, and the orbits of the Chevalley group, which acts by simultaneous conjugation on such pairs, are classified. Most of the calculations are valid for fields of characteristic 2.",
keywords = "Chevalley group, Short root subgroup, Bruhat decomposition",
author = "Нестеров, {Владимир Викторович}",
year = "2004",
language = "English",
volume = "120",
pages = "1630--1641",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Pairs of Short Root Subgroups in the Chevalley Group of Type G 2

AU - Нестеров, Владимир Викторович

PY - 2004

Y1 - 2004

N2 - The paper is devoted to a description of the pairs of unipotent short root subgroups in the Chevalley group of type G2 over a field of characteristic different from 2. Namely, the subgroups generated by a pair of short root subgroups are described, and the orbits of the Chevalley group, which acts by simultaneous conjugation on such pairs, are classified. Most of the calculations are valid for fields of characteristic 2.

AB - The paper is devoted to a description of the pairs of unipotent short root subgroups in the Chevalley group of type G2 over a field of characteristic different from 2. Namely, the subgroups generated by a pair of short root subgroups are described, and the orbits of the Chevalley group, which acts by simultaneous conjugation on such pairs, are classified. Most of the calculations are valid for fields of characteristic 2.

KW - Chevalley group

KW - Short root subgroup

KW - Bruhat decomposition

M3 - Article

VL - 120

SP - 1630

EP - 1641

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 42532914