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Dihedral fields with Bloch lattice index five and quadratic subfield Q(i)

Huimin, Zheng
arXiv (All) · Papers
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number-theory
We construct infinitely many Galois extensions $M/\mathbb{Q}$ with dihedral group of order ten, quadratic subfield $\mathbb{Q}(i)$, and Bloch lattice index $Q_2(M)=5$. More precisely, we specify a Chebotarev set of rational primes of density $1/50$. For every prime $\ell$ in this set, at least two o
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