Abstract
We first note that the material in the chapter on the Geometry of Numbers immediately implies the existence of independent units in any field k. For instance, by Lemma 12.27, we can construct an infinite sequence of elements ξmεO whose i0-conjugate is “favored”, i.e.,
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© 1978 Springer-Verlag New York Inc.
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Cohn, H. (1978). Finite Determination of Class Number. In: A Classical Invitation to Algebraic Numbers and Class Fields. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9950-9_13
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DOI: https://doi.org/10.1007/978-1-4612-9950-9_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90345-3
Online ISBN: 978-1-4612-9950-9
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