Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The Valentiner group as Galois group
HTML articles powered by AMS MathViewer

by Teresa Crespo and Zbigniew Hajto
Proc. Amer. Math. Soc. 133 (2005), 51-56
DOI: https://doi.org/10.1090/S0002-9939-04-07539-2
Published electronically: August 20, 2004
PDF | Request permission

Abstract:

We obtain the complete set of solutions to the Galois embedding problem given by the Valentiner group as a triple cover of the alternating group $A_6$.
References
  • Teresa Crespo and Zbigniew Hajto, Finite linear groups as differential Galois groups, Bull. Polish Acad. Sci. Math. 49 (2001), no. 4, 361–373. MR 1872670
  • Teresa Crespo and Zbigniew Hajto, Recouvrements doubles comme groupes de Galois différentiels, C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), no. 4, 271–274 (French, with English and French summaries). MR 1854763, DOI 10.1016/S0764-4442(01)02075-4
  • T. Crespo and Z. Hajto, Differential Galois realization of double covers, Ann. Inst. Fourier (Grenoble) 52 (2002), no. 4, 1017–1025 (English, with English and French summaries). MR 1926670, DOI 10.5802/aif.1908
  • I. Martin Isaacs, Character theory of finite groups, Pure and Applied Mathematics, No. 69, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. MR 0460423
  • J.-F. Mestre, Extensions $\textbf {Q}$-régulières de $\textbf {Q}(t)$ de groupe de Galois $6.A_6$ et $6.A_7$, Israel J. Math. 107 (1998), 333–341 (French, with English summary). MR 1658587, DOI 10.1007/BF02764017
  • G.A. Miller, H.F. Blichfeldt, L.E. Dickson, Theory and applications of finite groups, John Wiley and Sons, Inc., 1916.
  • Michael F. Singer, An outline of differential Galois theory, Computer algebra and differential equations, Comput. Math. Appl., Academic Press, London, 1990, pp. 3–57. MR 1038057
  • Marius van der Put and Michael F. Singer, Galois theory of linear differential equations, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 328, Springer-Verlag, Berlin, 2003. MR 1960772, DOI 10.1007/978-3-642-55750-7
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 12F12, 11F80, 12H05
  • Retrieve articles in all journals with MSC (2000): 12F12, 11F80, 12H05
Bibliographic Information
  • Teresa Crespo
  • Affiliation: Departament d’Àlgebra i Geometria, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain
  • MR Author ID: 260311
  • Email: crespo@mat.ub.es
  • Zbigniew Hajto
  • Affiliation: Departament d’Àlgebra i Geometria, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain
  • Address at time of publication: Zakład Matematyki, Akademia Rolnicza, al. Mickiewicza 24/28, 30-059 Kraków, Poland
  • Email: rmhajto@cyf-kr.edu.pl
  • Received by editor(s): June 3, 2003
  • Received by editor(s) in revised form: October 9, 2003
  • Published electronically: August 20, 2004
  • Additional Notes: The first author was supported in part by BFM2000-0794-C02-01, Spanish Ministry of Education
  • Communicated by: Lance W. Small
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 51-56
  • MSC (2000): Primary 12F12; Secondary 11F80, 12H05
  • DOI: https://doi.org/10.1090/S0002-9939-04-07539-2
  • MathSciNet review: 2085152