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On the number of certain Galois extensions of local fields
Authors:Da-sheng Wei   Chun-gang Ji
Affiliation:Department of Mathematics, the University of Science and Technology of China, Hefei, People's Republic of China 230026 ; Department of Mathematics, Nanjing Normal University, Nanjing, People's Republic of China 210097
Abstract:
In this paper, we will calculate the number of Galois extensions of local fields with Galois group $ A_n$ or $ S_n$.

Keywords:Local fields   Galois closure   ramified extensions
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