On bases of Washington?s group of circular units of some real cyclic number fields

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• 作者：Milan Werl
• 关键词：primary ; 11R27 ; secondary ; 11R20 ; 11R29
• 刊名：Journal of Number Theory
• 出版年：2014
• 出版时间：January, 2014
• 年：2014
• 卷：134
• 期：Complete
• 页码：109-129
• 全文大小：370 K

文摘

Let K be a cyclic field whose genus field in the narrow sense is real and which is totally ramified at each ramifying prime. We shall find a basis for the group of circular units of K defined by Washington. This enables us to compute the index of in the group of all units of K.