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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Valentiner group as Galois group


Authors: Teresa Crespo and Zbigniew Hajto
Journal: Proc. Amer. Math. Soc. 133 (2005), 51-56
MSC (2000): Primary 12F12; Secondary 11F80, 12H05
Published electronically: August 20, 2004
MathSciNet review: 2085152
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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 $A_6$.


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Additional Information

Teresa Crespo
Affiliation: Departament d’Àlgebra i Geometria, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain
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

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07539-2
PII: S 0002-9939(04)07539-2
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
Article copyright: © Copyright 2004 American Mathematical Society