Generic polynomials for quasi-dihedral, dihedral and modular extensions of order 16
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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
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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
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2213-2222
- MSC (2000): Primary 12F12
- DOI: https://doi.org/10.1090/S0002-9939-99-05570-7
- MathSciNet review: 1707525