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October 23rd, 2018, 11:32 AM   #1
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Math Focus: algebraic number theory
genus field

hello
if $K=Q(\sqrt{2p_1...p_r}, i)$.
is $K^*=Q(\sqrt 2, \sqrt p_1,\sqrt p_2,...,\sqrt p_r, i) $ the genus field of $K$.
is there any results on these things ?

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