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Generic polynomials for quasi-dihedral, dihedral and modular extensions of order 16

Author(s): Arne Ledet
Journal: Proc. Amer. Math. Soc. 128 (2000), 2213-2222.
MSC (2000): Primary 12F12
Posted: December 8, 1999
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Abstract: We describe Galois extensions where the Galois group is the quasi-dihedral, dihedral or modular group of order $16$, and use this description to produce generic polynomials.

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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: 10.1090/S0002-9939-99-05570-7
PII: S 0002-9939(99)05570-7
Received by editor(s): September 8, 1998
Posted: December 8, 1999
Additional Notes: This work was supported by a Queen's University Advisory Research Committee Postdoctoral Fellowship.
Communicated by: David E. Rohrlich
Copyright of article: Copyright 2000, American Mathematical Society

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