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On the Fundamental Number of the Algebraic Number-Field$k (\root p \of m)$

✍ Scribed by Jacob Westlund

Book ID
123945073
Publisher
American Mathematical Society
Year
1910
Tongue
English
Weight
191 KB
Volume
11
Category
Article
ISSN
0002-9947

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On the Units of Algebraic Number Fields
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Let \(K\) be an algebraic number field and \(k\) be a proper subfield of \(K\). Then we have the relations between the relative degree \([K: k]\) and the increase of the rank of the unit groups. Especially, in the case of \(m\) th cyclotomic field \(Q\left(\zeta_{m}\right)\), we determine the number