Computing stable epimorphisms onto finite groups. (May 2019)

• Record Type: Journal Article
• Authors: Požar, Rok
• Is Part Of: Journal of symbolic computation. Volume 92(2019)
• Page Start: 22
• Page End: 30
• Publication Date: 2019-05
• Subjects: Algorithm -- Epimorphism -- Finitely presented group -- Regular covering projection -- Quotient group; 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.2017.11.017
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: Let U be a finitely presented group with a normal subgroup F, and let H be a finite group. We present an effective method for constructing all U -stable epimorphisms from F onto H ; that is, epimorphisms whose kernels are normal in U . Our strategy is an adaptation of the algorithm for determining all epimorphisms from a finitely presented group onto a finite group. As an application, we construct all admissible regular graph covering projections with a given deck transformation group.