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The indices of Stickelberger ideals of function fields

✍ Scribed by Hwanyup Jung; Jaehyun Ahn


Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
95 KB
Volume
240
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES


Stickelberger Ideals and Relative Class
✍ Linsheng Yin πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 139 KB

It is well-known that in the cyclotomic number field Q(`pn) of prime power conductor, where `pn=exp(2?iΓ‚ 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