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Leopoldt kernels and central extensions of algebraic number fields

Published online by Cambridge University Press:  22 January 2016

Katsuya Miyake*
Affiliation:
Department of Mathematics, College of General Education, Nagoya University, Nagoya 464-01, Japan
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Let k be an algebraic number field of finite degree, and p be a fixed rational prime. We denote the set of all the non-Archimedian prime divisors of k by S 0(k) and the set of all the real Archimedian ones by (k). Put and S = S 0 ∪ S ∞, and define a subgroup of the unit group (k) of k by

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990