The number of semidihedral or modular extensions of a local field

Makoto Ito; Masakazu Yamagishi

doi:10.3792/pjaa.83.10

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March 2007 The number of semidihedral or modular extensions of a local field

Makoto Ito, Masakazu Yamagishi

Proc. Japan Acad. Ser. A Math. Sci. 83(2): 10-13 (March 2007). DOI: 10.3792/pjaa.83.10

Abstract

We calculate the number of Galois extensions, up to isomorphism, of a local field whose Galois groups are isomorphic to the semidihedral (resp. modular) group of order $2^m$ ($m\ge 4$).

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Makoto Ito. Masakazu Yamagishi. "The number of semidihedral or modular extensions of a local field." Proc. Japan Acad. Ser. A Math. Sci. 83 (2) 10 - 13, March 2007. https://doi.org/10.3792/pjaa.83.10