Class groups of real cyclotomic fields
نویسندگان
چکیده
We prove that every finite abelian group G occurs as a subgroup of the class infinitely many real cyclotomic fields.
منابع مشابه
Ideal Class Groups of Cyclotomic Number Fields I
Following Hasse’s example, various authors have been deriving divisibility properties of minus class numbers of cyclotomic fields by carefully examining the analytic class number formula. In this paper we will show how to generalize these results to CM-fields by using class field theory. Although we will only need some special cases, we have also decided to include a few results on Hasse’s unit...
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We first study some families of maximal real subfields of cyclotomic fields with even class number, and then explore the implications of large plus class numbers of cyclotomic fields. We also discuss capitulation of the minus part and the behaviour of p-class groups in cyclic ramified p-extensions. This is a continuation of [13]; parts I and II are independent, but will be used in part III. 6. ...
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2021
ISSN: ['0026-9255', '1436-5081']
DOI: https://doi.org/10.1007/s00605-020-01499-0