Stickelberger Ideals and Relative Class
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Linsheng Yin
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Article
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2000
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Elsevier Science
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English
โ 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