Abstract
This chapter is due to Kersey. We determine the index of the group of Klein units in the group of all units in case the conductor is the power of a prime ideal pn. For the composite case, we refer to [Ke 2]. The treatment differs from, say, Robert’s [Ro 1] in several ways. First we deal with the somewhat larger group of Klein units rather than Robert units; and second, we introduce intermediate groups other than those of Robert, more in line with the Sinnott computation of the index in the composite case for cyclo-tomic fields.
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© 1981 Springer Science+Business Media New York
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Kubert, D.S., Lang, S. (1981). Computation of a Unit Index. In: Modular Units. Grundlehren der mathematischen Wissenschaften, vol 244. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1741-9_13
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DOI: https://doi.org/10.1007/978-1-4757-1741-9_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2813-9
Online ISBN: 978-1-4757-1741-9
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