The number of Galois extensions, up to isomorphism, of a local field whose Galois groups are isomorphic to the modular group $M_{p^{m}}=\langle x,y\mid x^{p^{m-1}}=y^{p}=1,y^{-1}xy=x^{p^{m-2}+1}\rangle$, where $p$ is an odd prime, is counted.
Proc. Japan Acad. Ser. A Math. Sci.
84(8):
151-153
(October 2008).
DOI: 10.3792/pjaa.84.151
