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Structure of $$\mathrm {Gal}(\mathbb {k}_2^{(2)}/\mathbb {k})$$ Gal ( k 2 ( 2 ) / k ) for some fields $$\mathbb {k}=\mathbb {Q}(\sqrt{2p_1p_2},i)$$ k = Q ( 2 p 1 p 2 , i ) with $$\mathbf {C}l_2(\mathbb {k})\simeq (2, 2, 2)$$ C l 2 ( k ) ≃ ( 2 , 2 , 2 )

Crossref DOI link: https://doi.org/10.1007/s12188-014-0090-x

Published Online: 2014-04-23

Published Print: 2014-10

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