Yue Xu

most cited

ℓ

-Class groups of fields in Kummer towers

10 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2020

On abelian $2$ -ramification torsion modules of quadratic fields

Jianing Li, Yi Ouyang, Yue Xu

For a number field $F$ and a prime number $p$ , the $Z_{p}$ -torsion module of the Galois group of the maximal abelian pro- $p$ extension of $F$ unramified outside $p$ over $F$ …

math.NT2019

On Class Numbers of Pure Quartic fields

Jianing Li, Yue Xu

Let $p$ be a prime. The $2$ -primary part of the class group of the pure quartic field $Q (4 p)$ has been determined by Parry and Lemmermeyer when $p \not\equiv \pm…

math.NT2019★ 10 cited

$ℓ$ -Class groups of fields in Kummer towers

Jianing Li, Yi Ouyang, Yue Xu +1

Let $ℓ$ and $p$ be prime numbers and $K_{n, m} = Q (p^{\frac{1}{ℓ ^{n}}}, ζ_{2 ℓ^{m}})$ . We study the $ℓ$ -class group of $K_{n, m}$ in this paper. When $ℓ = 2$ , we dete…

On abelian 2-ramification torsion modules of quadratic fields

On Class Numbers of Pure Quartic fields

ℓ-Class groups of fields in Kummer towers

On abelian $2$ -ramification torsion modules of quadratic fields

$ℓ$ -Class groups of fields in Kummer towers