Abstract
LetΩbe an algebraic number field of finite degree, which we fix once for all, and letKbe a cyclic extension overΩsuch that the degree ofK/Ωis a powerof a prime numberl. It is obvious that the norm groupNK/ΩeKof the unit group ekofK, being a subgroup of the unit group e of Ω contains the groupconsisting of all-th powersof ε∈e.
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