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| Paper IPM / M / 16695 |
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| Abstract: | |
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For a Galois extension K/\mathbbQ, Pólya group of K coincides with subgroup of strongly ambiguous ideal classes of K, which is controlled by ramification and Galois cohomology of units, and a number field with trivial Pólya group is called a Pólya field. In this paper, using Setzer's result [] on the first cohomology group of units in real biquadratic fields, we describe structure of Pólya group for an infinite family of real biquadratic fields with 5 ramification and no quadratic Pólya subfield. Moreover, in this family order of Pólya group is same as the Hasse unit index.
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