Abstract
We shall prove that for any finite $p$-group $G$, there exists an elementary abelian $p$-extension $k/\mathbf{Q}$ and an unramified extension $K/k$ such that the Galois group $\mathrm{Gal}(K/k)$ is isomorphic to $G$.
Citation
Akito Nomura. "On the existence of unramified $p$-extensions with prescribed Galois group." Osaka J. Math. 47 (4) 1159 - 1165, December 2010.
Information
Published: December 2010
First available in Project Euclid: 20 December 2010
zbMATH: 1268.12003
MathSciNet: MR2791562
Subjects:
Primary:
11R29
,
12F12
Rights: Copyright © 2010 Osaka University and Osaka City University, Departments of Mathematics
