October 23rd, 2018, 10:32 AM  #1 
Newbie Joined: Jul 2018 From: morocco Posts: 22 Thanks: 0 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 ? Thanks 

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field, genus 
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