Abstract
Let be prime, the field of -adic numbers, and an Eisenstein polynomial of degree . We give necessary and sufficient conditions on the coefficients of for its Galois group to be isomorphic to the dihedral group of order .
Citation
Chad Awtrey. Nicholas Hadgis. Annalise Von Sprecken. "Eisenstein polynomials defining Galois dihedral -adic fields of degree ." Involve 14 (3) 463 - 474, 2021. https://doi.org/10.2140/involve.2021.14.463
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