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The Valentiner group as Galois group
Author(s):
Teresa
Crespo;
Zbigniew
Hajto
Journal:
Proc. Amer. Math. Soc.
133
(2005),
51-56.
MSC (2000):
Primary 12F12;
Secondary 11F80, 12H05
Posted:
August 20, 2004
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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  .
References:
-
- 1.
- T. Crespo, Z. Hajto, Finite linear groups as differential Galois groups, Bull. Pol. Acad. Sci. Math. 49 n.4 (2001), 363-375. MR 1872670 (2002k:12016)
- 2.
- T. Crespo, Z. Hajto, Recouvrements doubles comme groupes de Galois différentiels, C.R. Acad. Sci. Paris, Série I, 333 (2001), 271-274. MR 1854763 (2002k:12017)
- 3.
- T. Crespo, Z. Hajto, Differential Galois realization of double covers, Annales de l'Institut Fourier, 52 (2002), 1017-1025. MR 1926670 (2004e:12006)
- 4.
- I.M. Isaacs, Character theory of finite groups, Academic Press, 1976. MR 0460423 (57:417)
- 5.
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 -régulières de  de groupe de Galois  et  , Israel J. Math. 107 (1998), 333-341. MR 1658587 (99i:12003) - 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:
Zaklad Matematyki, Akademia Rolnicza, al. Mickiewicza 24/28, 30-059 Kraków, Poland
Email:
rmhajto@cyf-kr.edu.pl
DOI:
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
Posted:
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 of article:
Copyright
2004,
American Mathematical Society
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