Let F be a number field. We investigate the group of Rubin's special units, S F defined over F. The group of special units is a subgroup of the group of global units containing the group of Sinnott's cyclotomic units, C F of F. It plays an important role in studying the ideal class group of F. Let (
Circular Distributions and Euler Systems
β Scribed by Soogil Seo
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 143 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0022-314X
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β¦ Synopsis
The purpose of this paper is to introduce and investigate a conjecture about cyclotomic units made by Robert Coleman. The conjecture is a characterization of Euler Sytems of Kolyvagin in the case of number field. We show that Euler Systems are almost cyclotomic units.
π SIMILAR VOLUMES
## Abstract A series expansion for computing the distribution of wind speed for nonβcircular normal wind distributions is derived. The form of the distribution is evaluated in a typical case.
In his paper (Invent. Math. 109 (1992) , Solomon finds an information on the prime factorization of an element coming from a circular unit 1-over the ideal class group of a real abelian number field L, where denotes a root of unity. Using this he obtains an annihilator of the p-Sylow subgroup of the