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- W341733153 abstract "Let K be an abelian number field, and let K_G be its genus field. A simple construction of K_G was given in Ref. [1]. We here give a further description of K_G, which determines the conductor f(K) and discriminant D(K). And, using these results. we prove that an extension L/K of type (q~s, q~s,…, q~s) has a relative integral basis under some conditions. Suppose that L is any algebraic number field containing K as a subfield. Since the" @default.
- W341733153 created "2016-06-24" @default.
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- W341733153 date "1993-08-28" @default.
- W341733153 modified "2023-09-23" @default.
- W341733153 title "Relative Integral Bases of Number Fields of Type (q~s,q~s,…,q~s)" @default.
- W341733153 doi "https://doi.org/10.1360/sb1993-38-16-1336" @default.
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