Circular units of an abelian field ramified at three primes

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• 作者：Radan Kučera^a ; ¹ ; ^{kucera@math.muni.cz" class="auth_mail" title="E-mail the corresponding author} ; Azar Salami^b ; ^{azarsalami@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：11R20
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：163
• 期：Complete
• 页码：296-315
• 全文大小：386 K

文摘

This paper constructs a basis and gives a presentation of Sinnott's group of circular units for a real abelian field k ramified at three primes whose genus field K   in the narrow sense has cyclic relative Galois group Gal(K/k)$\mathrm{Gal}(K/k)$. It is shown that, for this type of fields, the quotient of the module of all relations satisfied by circular units by the submodule generated by all norm relations is a cyclic module generated by an Ennola relation.