On the higher Fitting ideals of Iwasawa modules of ideal class groups over real abelian fields
โ Scribed by Ohshita, Tatsuya
- Book ID
- 123580177
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 733 KB
- Volume
- 135
- Category
- Article
- ISSN
- 0022-314X
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๐ SIMILAR VOLUMES
For a totally real field of prime power conductor, we determine the Fitting ideal over the Galois group ring of the ideal class group and of the narrow ideal class group. 1998 Academic Press ## 1. Introduction In this paper we prove a structure result on the ideal class group and on the narrow id
Let K be a real abelian number field satisfying certain conditions and K n the n th layer of the cyclotomic Z p -extension of K. We study the relation between the p-Sylow subgroup of the ideal class group and that of the unit group module the cyclotomic unit group of K n . We give certain sufficient
Let p be a fixed odd prime number and k an imaginary abelian field containing a primitive p th root `p of unity. Let k รk be the cyclotomic Z p -extension and Lรk the maximal unramified pro-p abelian extension. We put where E is the group of units of k . Let X=Gal(Lรk ) and Y=Gal(L & Nรk ), and let