Abstract
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.
Citation
Yoshitaka Odai. Hiroshi Suzuki. "The rank of the group of relative units of a Galois extension." Tohoku Math. J. (2) 53 (1) 37 - 54, 2001. https://doi.org/10.2748/tmj/1178207530
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