A note on l-class groups of certain algebraic number fields |
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Authors: | Norikata Nakagoshi |
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Affiliation: | Department of Mathematics, Toyama University, Gofuku 3190, Toyama, Japan |
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Abstract: | The structure of ideal class groups of number fields is investigated in the following three cases: (i) Abelian extensions of number fields whose Galois groups are of type (p, p); (ii) non-Galois extensions of degree p2 over Q; (iii) dihedral extensions of degree 2n + 1 over Q. It is shown that it is possible to obtain class number relations by group-theoretic methods. Subgroups of ideal class groups whose orders are prime to the extension degree are considered. |
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