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On the number of certain Galois extensions of local fields

Author(s): Da-sheng Wei; Chun-gang Ji
Journal: Proc. Amer. Math. Soc. 135 (2007), 3041-3047.
MSC (2000): Primary 11S15, 11S20
Posted: May 10, 2007
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Abstract: In this paper, we will calculate the number of Galois extensions of local fields with Galois group $ A_n$ or $ S_n$.

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Additional Information:

Da-sheng Wei
Affiliation: Department of Mathematics, the University of Science and Technology of China, Hefei, People's Republic of China 230026
Email: dshwei@ustc.edu

Chun-gang Ji
Affiliation: Department of Mathematics, Nanjing Normal University, Nanjing, People's Republic of China 210097
Email: cgji@njnu.edu.cn

DOI: 10.1090/S0002-9939-07-08905-8
PII: S 0002-9939(07)08905-8
Keywords: Local fields, Galois closure, ramified extensions
Received by editor(s): June 13, 2006
Posted: May 10, 2007
Additional Notes: This work was partially supported by grants \#10171046 and \#10201013 from NNSF of China and Jiangsu planned projects for postdoctoral research funds
Communicated by: Ken Ono
Copyright of article: Copyright 2007, American Mathematical Society

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