On the existence of unramified $p$-extensions with prescribed Galois group
Nomura, Akito
Osaka J. Math., Tome 47 (2010) no. 1, p. 1159-1165 / Harvested from Project Euclid
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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 $G$.
Publié le : 2010-12-15
Classification:  12F12,  11R29 
@article{1292854319,
     author = {Nomura, Akito},
     title = {On the existence of unramified $p$-extensions with prescribed Galois group},
     journal = {Osaka J. Math.},
     volume = {47},
     number = {1},
     year = {2010},
     pages = { 1159-1165},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1292854319}
}

Nomura, Akito. On the existence of unramified $p$-extensions with prescribed Galois group. Osaka J. Math., Tome 47 (2010) no. 1, pp.  1159-1165. http://gdmltest.u-ga.fr/item/1292854319/