Regular orbits of finite primitive solvable groups, III

Regular orbits of finite primitive solvable groups, III Full article

Journal

Journal of Algebra
ISSN: 0021-8693 , E-ISSN: 1090-266X

Output data

Year: 2022, Volume: 590, Pages: 139-154 Pages count : 16 DOI: 10.1016/j.jalgebra.2021.08.027

Tags

Primitive linear group; Regular orbits; Solvable group

Authors

Yang Y. ¹ , Vasil'ev A. ² , Vdovin E. ²

Affiliations

1	Department of Mathematics, Texas State University, 601 University Drive, San Marcos, TX 78666, United States
2	Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Funding (1)

Russian Science Foundation

19-11-00039

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.

Yang Y. , Vasil'ev A. , Vdovin E.
Regular orbits of finite primitive solvable groups, III
Journal of Algebra. 2022. V.590. P.139-154. DOI: 10.1016/j.jalgebra.2021.08.027 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000709453500004
Scopus:	2-s2.0-85116918024
Elibrary:	47512444
OpenAlex:	W1998096121

DB	Citing
Scopus	4
Web of science	3
OpenAlex	31
Elibrary	3