Abstract
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.
Citation
Masakazu Yamagishi. "The number of modular extensions of odd degree of a local field." Proc. Japan Acad. Ser. A Math. Sci. 84 (8) 151 - 153, October 2008. https://doi.org/10.3792/pjaa.84.151
Information