Standard

Regular orbits of finite primitive solvable groups, III. / Yang, Yong; Vasil'ev, Alexey; Vdovin, Evgeny.

In: Journal of Algebra, Vol. 590, 15.01.2022, p. 139-154.

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

Harvard

Yang, Y, Vasil'ev, A & Vdovin, E 2022, 'Regular orbits of finite primitive solvable groups, III', Journal of Algebra, vol. 590, pp. 139-154. https://doi.org/10.1016/j.jalgebra.2021.08.027

APA

Yang, Y., Vasil'ev, A., & Vdovin, E. (2022). Regular orbits of finite primitive solvable groups, III. Journal of Algebra, 590, 139-154. https://doi.org/10.1016/j.jalgebra.2021.08.027

Vancouver

Yang Y, Vasil'ev A, Vdovin E. Regular orbits of finite primitive solvable groups, III. Journal of Algebra. 2022 Jan 15;590:139-154. doi: 10.1016/j.jalgebra.2021.08.027

Author

Yang, Yong ; Vasil'ev, Alexey ; Vdovin, Evgeny. / Regular orbits of finite primitive solvable groups, III. In: Journal of Algebra. 2022 ; Vol. 590. pp. 139-154.

BibTeX

@article{ae721987753d48719dc824062836c442,
title = "Regular orbits of finite primitive solvable groups, III",
abstract = "Suppose that a finite solvable group G acts faithfully, irreducibly and quasi-primitively on a finite vector space V, and G is not metacyclic. Then G always has a regular orbit on V except for a few “small” cases.",
keywords = "Primitive linear group, Regular orbits, Solvable group",
author = "Yong Yang and Alexey Vasil'ev and Evgeny Vdovin",
note = "Funding Information: The research of the first author was partially supported by a grant from the Simons Foundation (No 499532 ). The second and the third author are supported by the Russian Science Foundation (project No 19-11-00039 ). The authors are grateful to the referee for the valuable suggestions which greatly improved the manuscript. Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2022",
month = jan,
day = "15",
doi = "10.1016/j.jalgebra.2021.08.027",
language = "English",
volume = "590",
pages = "139--154",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Regular orbits of finite primitive solvable groups, III

AU - Yang, Yong

AU - Vasil'ev, Alexey

AU - Vdovin, Evgeny

N1 - Funding Information: The research of the first author was partially supported by a grant from the Simons Foundation (No 499532 ). The second and the third author are supported by the Russian Science Foundation (project No 19-11-00039 ). The authors are grateful to the referee for the valuable suggestions which greatly improved the manuscript. Publisher Copyright: © 2021 Elsevier Inc.

PY - 2022/1/15

Y1 - 2022/1/15

N2 - Suppose that a finite solvable group G acts faithfully, irreducibly and quasi-primitively on a finite vector space V, and G is not metacyclic. Then G always has a regular orbit on V except for a few “small” cases.

AB - Suppose that a finite solvable group G acts faithfully, irreducibly and quasi-primitively on a finite vector space V, and G is not metacyclic. Then G always has a regular orbit on V except for a few “small” cases.

KW - Primitive linear group

KW - Regular orbits

KW - Solvable group

UR - http://www.scopus.com/inward/record.url?scp=85116918024&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2021.08.027

DO - 10.1016/j.jalgebra.2021.08.027

M3 - Article

AN - SCOPUS:85116918024

VL - 590

SP - 139

EP - 154

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -

ID: 34400847