Module structure of integers in metacyclic extensions
نویسندگان
چکیده
منابع مشابه
On the Relative Galois Module Structure of Rings of Integers in Tame Extensions
Let F be a number field with ring of integers OF and let G be a finite group. We describe an approach to the study of the set of realisable classes in the locally free class group Cl(OF G) of OF G that involves applying the work of the second-named author in the context of relative algebraic K theory. For a large class of soluble groups G, including all groups of odd order, we show (subject to ...
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We define an extension L/K of absolutely abelian number fields to be Leopoldt if the ring of integers OL of L is free as a module over the associated order AL/K of L/K. Furthermore, we say that an abelian number field K is Leopoldt if every extension L/K with L/Q abelian is Leopoldt. In this paper, we make progress towards a classification of Leopoldt number fields and extensions. The two main ...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1998
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-76-2-191-199