Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
THE RANK OF THE GROUP OF RELATIVE UNITS OF A GALOIS EXTENSION
YOSHITAKA ODAIHIROSHI SUZUKI
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2001 Volume 53 Issue 1 Pages 37-54

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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.
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© 2001 by THE TOHOKU UNIVERSITY
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