Generic polynomials for quasi-dihedral, dihedral and modular extensions of order 16
Author:
Arne Ledet
Journal:
Proc. Amer. Math. Soc. 128 (2000), 2213-2222
MSC (2000):
Primary 12F12
DOI:
https://doi.org/10.1090/S0002-9939-99-05570-7
Published electronically:
December 8, 1999
MathSciNet review:
1707525
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Abstract | References | Similar Articles | Additional Information
Abstract: We describe Galois extensions where the Galois group is the quasi-dihedral, dihedral or modular group of order 
, and use this description to produce generic polynomials.
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I. Kiming, Explicit Classifications of some -Extensions of a Field of Characteristic different from , Canad. J. Math. 42 (1990), 825-855. MR 92c:11115
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A. Ledet, On -Groups as Galois Groups, Canad. J. Math. 47 (1995), 1253-1273. MR 97a:12003
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Additional Information
Arne Ledet
Affiliation:
Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada K7L 3N6
Email:
ledet@mast.queensu.ca
DOI:
https://doi.org/10.1090/S0002-9939-99-05570-7
Received by editor(s):
September 8, 1998
Published electronically:
December 8, 1999
Additional Notes:
This work was supported by a Queen’s University Advisory Research Committee Postdoctoral Fellowship.
Communicated by:
David E. Rohrlich
Article copyright:
© Copyright 2000
American Mathematical Society
