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Regular orbits of finite primitive solvable groups, III.

Authors :
Yang, Yong
Vasil'ev, Alexey
Vdovin, Evgeny
Source :
Journal of Algebra. Jan2022, Vol. 590, p139-154. 16p.
Publication Year :
2022

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00218693
Volume :
590
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
153417397
Full Text :
https://doi.org/10.1016/j.jalgebra.2021.08.027