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On the 8-rank of narrow class groups of ℚ(−4pq), ℚ(−8pq), and ℚ(8pq)

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Let d ∈{−4,−8, 8}. We study the 8-part of the narrow class group in thin families of quadratic number fields of the form ℚ(dpq), where p ≡ q ≡ 1… Click to show full abstract

Let d ∈{−4,−8, 8}. We study the 8-part of the narrow class group in thin families of quadratic number fields of the form ℚ(dpq), where p ≡ q ≡ 1 mod 4 are prime numbers, and we prove new lower boun...

Keywords: rank narrow; class; groups 4pq; class groups; 4pq 8pq; narrow class

Journal Title: International Journal of Number Theory
Year Published: 2018

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