On the Computation of All Extensions of a p-Adic Field of a Given Degree
Pauli, Sebastian ; Roblot, Xavier-François
HAL, hal-00863052 / Harvested from HAL
Text on HAL
Let k be a p-adic field. It is well-known that k has only finitely many extensions of a given finite degree. Krasner has given formulae for the number of extensions of k of a given degree and discriminant. Following his work, we present an algorithm for the computation of generating polynomials for all these extensions.
Publié le : 2001-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00863052,
     author = {Pauli, Sebastian and Roblot, Xavier-Fran\c cois},
     title = {On the Computation of All Extensions of a p-Adic Field of a Given Degree},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00863052}
}

Pauli, Sebastian; Roblot, Xavier-François. On the Computation of All Extensions of a p-Adic Field of a Given Degree. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00863052/