LetKbe a real abelian number field satisfying certain conditions andKnthenth layer of the cyclotomic Zp-extension ofK. We study the relations between thep-Sylow subgroup of the ideal class group and that of the unit group modulo the cyclotomic unit group ofKn. Supposing that Greenberg's conjecture is valid, we shall show that these two groups are isomorphic as Galois modules for sufficiently largen.
|Number of pages||12|
|Journal||Journal of Number Theory|
|Publication status||Published - 1997 Jun|
ASJC Scopus subject areas
- Algebra and Number Theory