Improved methods for the construction of relative invariants for permutation groups. (March 2017)

• Record Type: Journal Article
• Authors: Elsenhans, Andreas-Stephan
• Is Part Of: Journal of symbolic computation. Volume 79(2017)Part 2
• Page Start: 211
• Page End: 231
• Publication Date: 2017-03
• Subjects: Computation of Galois groups -- Explicit invariants -- Permutation groups; 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.2016.02.005
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: An invariant of a group U is called a relative invariant of U ⊊ G if its stabilizer in G is U . The computation of Galois groups requires the construction of such invariants for permutation groups. This article reports on the constructions that are implemented in the Galois group package ofmagma 2.20.