The rank of the group of relative units of a Galois extension
Odai, Yoshitaka ; Suzuki, Hiroshi
Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 37-54 / Harvested from Project Euclid
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For an extension of number fields, we define the group of relative units, and determine its rank when the extension is a Galois extension. For this purpose we need to determine all the finite groups of which every abelian subgroup is cyclic.
Publié le : 2001-05-14
Classification:  11R27,  11R32,  20D99 
@article{1178207530,
     author = {Odai, Yoshitaka and Suzuki, Hiroshi},
     title = {The rank of the group of relative units of a Galois extension},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 37-54},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207530}
}

Odai, Yoshitaka; Suzuki, Hiroshi. The rank of the group of relative units of a Galois extension. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  37-54. http://gdmltest.u-ga.fr/item/1178207530/