The ideal class group of the basic $\mathbf Z_p$-extension over an imaginary quadratic field

Horie, Kuniaki

Horie, Kuniaki

Tohoku Math. J. (2), Tome 57 (2005) no. 1, p. 375-394 / Harvested from Project Euclid

Résumé

We shall discuss the local triviality in the ideal class group of the basic $\mathbf Z_p$-extension over an imaginary quadratic field and prove, in particular, a result which implies that such triviality distributes with natural density $1$.

Publié le : 2005-09-14
Classification: 11R29, 11R11, 11R20, 11R23

@article{1128703003,
     author = {Horie, Kuniaki},
     title = {The ideal class group of the basic $\mathbf Z\_p$-extension over an imaginary quadratic field},
     journal = {Tohoku Math. J. (2)},
     volume = {57},
     number = {1},
     year = {2005},
     pages = { 375-394},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1128703003}
}

Horie, Kuniaki. The ideal class group of the basic $\mathbf Z_p$-extension over an imaginary quadratic field. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp.  375-394. http://gdmltest.u-ga.fr/item/1128703003/