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On the Construction of Relative Genus Fields

Gary Cornell
Transactions of the American Mathematical Society
Vol. 271, No. 2 (Jun., 1982), pp. 501-511
DOI: 10.2307/1998895
Stable URL: http://www.jstor.org/stable/1998895
Page Count: 11
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On the Construction of Relative Genus Fields
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Abstract

We show how to construct the relative genus field in many cases. This is then applied to constructing fields with interesting class groups.

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