Integral Bases for Subfields of Cyclotomic Fields
β Scribed by Thomas Breuer
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 218 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0938-1279
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let p be an odd prime and q = p m , where m is a positive integer. Let ΞΆ be a primitive qth root of unity, and O q be the ring of integers in the cyclotomic field Q(ΞΆ ). We prove that if O q = Z[Ξ±] and gcd(h + q , p(p -1)/2) = 1, where h + q is the class number of Q(ΞΆ + ΞΆ -1 ), then an integer trans
Let `be a primitive 2 m th root of unity. We prove that Z[:]=Z [`] if and only if :=n\`i for some n, i # Z, i odd. This is the first example of number fields of arbitrarily large degree for which all power bases for the ring of integers are known. 2001 Academic Press ## 1. Introduction A number f