On the 2-class groups of cyclotomic fields whose maximal real subfields have odd class numbers

Horie, Kuniaki; Horie, Mitsuko

doi:10.1090/S0002-9939-1995-1273498-5

On the $2$-class groups of cyclotomic fields whose maximal real subfields have odd class numbers
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Proc. Amer. Math. Soc. 123 (1995), 2643-2649 Request permission

Abstract:

This paper first makes a simple remark about the structure as a group of the ideal class group of any algebraic number field, then studies the 2-rank of the ideal class group of any cyclotomic field whose maximal real subfield has odd class number, and finally determines the structure of the ideal class groups of some cyclotomic fields.

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On the relative class number of the imaginary abelian number field

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