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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the number of certain Galois extensions of local fields
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by Da-sheng Wei and Chun-gang Ji PDF
Proc. Amer. Math. Soc. 135 (2007), 3041-3047 Request permission

Abstract:

In this paper, we will calculate the number of Galois extensions of local fields with Galois group $A_n$ or $S_n$.
References
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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
  • Received by editor(s): June 13, 2006
  • Published electronically: 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 2007 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 3041-3047
  • MSC (2000): Primary 11S15, 11S20
  • DOI: https://doi.org/10.1090/S0002-9939-07-08905-8
  • MathSciNet review: 2322733