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$2 S_4 * Q_8$-extensions in characteristic 3

Author(s): Teresa Crespo
Journal: Proc. Amer. Math. Soc. 132 (2004), 691-695.
MSC (2000): Primary 12F12
Posted: July 16, 2003
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Abstract: We present an explicit construction of the complete family of Galois extensions of a field $K$ of characteristic 3 with Galois group the central product $2S_4* Q_8$ of a double cover $2S_4$ of the symmetric group $S_4$ and the quaternion group $Q_8$, containing a given $S_4$-extension of the field $K$.

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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@cerber.mat.ub.es

DOI: 10.1090/S0002-9939-03-07104-1
PII: S 0002-9939(03)07104-1
Received by editor(s): July 18, 2002
Received by editor(s) in revised form: November 13, 2002
Posted: July 16, 2003
Additional Notes: Partially supported by the grant BFM2000-0794-C02-01 of the Spanish Ministry of Education
Communicated by: Stephen D. Smith
Copyright of article: Copyright 2003, American Mathematical Society

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