On Elkies' method for bounding the transitivity degree of Galois groups. (January 2022)

• Record Type: Journal Article
• Authors: Barth, Dominik; Wenz, Andreas
• Is Part Of: Journal of symbolic computation. Volume 108(2022)
• Page Start: 17
• Page End: 22
• Publication Date: 2022-01
• Subjects: Galois group computation -- Hasse-Weil bound -- Function fields; 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.2021.05.001
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: In 2013 Elkies described a method for bounding the transitivity degree of Galois groups. Our goal is to give additional applications of this technique, in particular verifying that the monodromy group of the degree-276 cover defined over a degree-12 number field computed by Monien is isomorphic to the sporadic Conway group Co 3 .