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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
Published electronically: December 8, 1999
MathSciNet review: 1707525
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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.

References [Enhancements On Off] (What's this?)

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Additional Information

Arne Ledet
Affiliation: Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada K7L 3N6

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