Monogenesis of the rings of integers in certain imaginary abelian fields

In this paper we consider a subfield K in a cyclotomic field km of conductor m such that [km: K] = 2 in the cases of m = lpn with a prime p, where l = 4 or p > l = 3. Then the theme is to know whether the ring of integers in K has a power basis or does not.

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Bibliographic Details
Published in:Nagoya mathematical journal 2002, Vol.168, p.85-92
Main Authors: Shah, Syed Inayat Ali, Nakahara, Toru
Format: Article
Language:English
Subjects:
11R04
11R18
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Summary:In this paper we consider a subfield K in a cyclotomic field km of conductor m such that [km: K] = 2 in the cases of m = lpn with a prime p, where l = 4 or p > l = 3. Then the theme is to know whether the ring of integers in K has a power basis or does not.
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000008369