Units of modulus 1 |
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| Authors: | CR MacCluer Charles J Parry |
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| Institution: | Department of Mathematics, Michigan State University, East Lansing, Michigan 48824 USA;Department of Mathematics, Virginia Polytechnic Instiute, Blacksburg, Virginia 24061 USA |
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| Abstract: | If k is an algebraic number field which is normal over the field of rational numbers then it is shown that k has nontrivial units of modulus 1 if and only if the maximal real subfield of k is also a normal extension of the rationals. A characterization of the units is given for fields which satisfy the above conditions. A new proof of Kummer's Theorem on the units of cyclotomic fields is also obtained. |
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