Regular orbits of finite primitive solvable groups, the final classification. (May 2023)

• Record Type: Journal Article
• Authors: Holt, Derek; Yang, Yong
• Is Part Of: Journal of symbolic computation. Volume 116(2023)
• Page Start: 139
• Page End: 145
• Publication Date: 2023-05
• Subjects: 20C20 -- 20C15; Solvable linear groups -- Primitive -- Regular orbits; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2022.08.019
• Languages: English
• ISSNs: 0747-7171

Abstract

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. We completely classify these cases in this paper.