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Stickelberger ideals and Fitting ideals of class groups for abelian number fields

โœ Scribed by Masato Kurihara; Takashi Miura


Publisher
Springer
Year
2010
Tongue
English
Weight
338 KB
Volume
350
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES


Stickelberger Ideals and Relative Class
โœ Linsheng Yin ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

It is well-known that in the cyclotomic number field Q(`pn) of prime power conductor, where `pn=exp(2?iร‚ p n ), the index of cyclotomic units in the total unit group is equal to the class number of its maximal real subfield, which is due to Kummer. On the other hand, in 1962 Iwasawa [Iw] showed that

Fitting Ideals of Class Groups of Real F
โœ Pietro Cornacchia; Cornelius Greither ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 254 KB

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

On the Cyclotomic Unit Group and the Ide
โœ Manabu Ozaki ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1001 KB

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