Harris B. Daniels

collaborators

4 papers

math.NT2021

An Errata for: Torsion subgroups of rational elliptic curves over the compositum of all $D_{4}$ extensions of the rational numbers

Harris B. Daniels

In [2], the author claims that the fields $Q (D_{4}^{\infty})$ defined in the paper and the compositum of all $D_{4}$ extensions of $Q$ coincide. The proof of this claim…

math.NT2018

Torsion groups of elliptic curves over the $Z_{p}$ -extensions of $Q$

Michael Chou, Harris B. Daniels, Ivan Krijan +1

We determine, for an elliptic curve $E / Q$ and for all $p$ , all the possible torsion groups $E (Q_{\infty, p})_{t or s}$ , where $Q_{\infty, p}$ is the $\mathbb…

math.NT2018

On the torsion of rational elliptic curves over sextic fields

Harris B. Daniels, Enrique González-Jiménez

Given an elliptic curve $E / Q$ with torsion subgroup $G = E (Q)_{tors}$ we study what groups (up to isomorphism) can occur as the torsion subgroup of $E$ base-e…

math.NT2018

Groups of generalized $G$ -type and applications to torsion subgroups of rational elliptic curves over infinite extensions of $Q$

Harris B. Daniels, Maarten Derickx, Jeffrey Hatley

Recently there has been much interest in studying the torsion subgroups of elliptic curves base-extended to infinite extensions of $Q$ . In this paper, given a finite group…

An Errata for: Torsion subgroups of rational elliptic curves over the compositum of all D4​ extensions of the rational numbers

Torsion groups of elliptic curves over the Zp​-extensions of Q

On the torsion of rational elliptic curves over sextic fields

Groups of generalized G-type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q

An Errata for: Torsion subgroups of rational elliptic curves over the compositum of all $D_{4}$ extensions of the rational numbers

Torsion groups of elliptic curves over the $Z_{p}$ -extensions of $Q$

Groups of generalized $G$ -type and applications to torsion subgroups of rational elliptic curves over infinite extensions of $Q$