منابع مشابه
Global Units modulo Circular Units : descent without Iwasawa’s Main Conjecture
Iwasawa’s classical asymptotical formula relates the orders of the p-parts Xn of the ideal class groups along a Zp-extension F∞/F of a number field F , to Iwasawa structural invariants λ and μ attached to the inverse limit X∞ = lim ← Xn. It relies on ”good” descent properties satisfied by Xn. If F is abelian and F∞ is cyclotomic it is known that the p-parts of the orders of the global units mod...
متن کاملO ct 2 00 6 Global Units modulo Circular Units : descent without Iwasawa ’ s Main Conjecture . ∗
Iwasawa’s classical asymptotical formula relates the orders of the p-parts Xn of the ideal class groups along a Zp-extension F∞/F of a number field F , to Iwasawa structural invariants λ and μ attached to the inverse limit X∞ = lim ← Xn. It relies on ”good” descent properties satisfied by Xn. If F is abelian and F∞ is cyclotomic it is known that the p-parts of the orders of the global units mod...
متن کامل2 4 M ay 2 00 6 Global Units modulo Circular Units : descent without Iwasawa ’ s Main Conjecture . ∗
Iwasawa’s classical asymptotical formula relates the orders of the p-parts Xn of the ideal class groups along a Zp-extension F∞/F of a number field F , to Iwasawa structural invariants λ and μ attached to the inverse limit X∞ = lim ← Xn. It relies on ”good” descent properties satisfied by Xn. If F is abelian and F∞ is cyclotomic it is known that the p-parts of the order of the global units modu...
متن کاملMorita Equivalence of Semigroups with Local Units
We prove that two semigroups with local units are Morita equivalent if and only if they have a joint enlargement. This approach to Morita theory provides a natural framework for understanding McAlister’s theory of the local structure of regular semigroups. In particular, we prove that a semigroup with local units is Morita equivalent to an inverse semigroup precisely when it is a regular locall...
متن کاملThaine’s method for circular units and a conjecture of Gross
This paper formulates a refined analogue of the usual class number formula for a real quadratic extension of Q, using circular units. The statement of this conjecture is inspired by an analogous conjecture of Gross [Gr]. Strong evidence for this conjecture can be given thanks to F. Thaine’s powerful method [Th] for generating relations in ideal class groups using circular units. The first two s...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1983
ISSN: 0002-9939
DOI: 10.2307/2045050