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

Author:

Daniels Harris B.1,Derickx Maarten2,Hatley Jeffrey3

Affiliation:

1. Department of Mathematics and StatisticsAmherst CollegeAmherst MA 01002 USA

2. Department of MathematicsMIT 2‐106, 77 Massachusetts Avenue Cambridge MA 02139 USA

3. Department of MathematicsUnion CollegeSchenectady NY 12308 USA

Funder

Simons Foundation

Publisher

Wiley

Subject

General Mathematics

Reference32 articles.

1. The Magma Algebra System I: The User Language

2. General Topology

3. Torsion of rational elliptic curves over quartic Galois number fields

4. K.Conrad ‘Galois groups of cubics and quartics (not in characteristic 2)’ 2013 http://www.math.uconn.edu/kconrad/blurbs/galoistheory/cubicquartic.pdf.

5. Torsion subgroups of rational elliptic curves over the compositum of all D 4 extensions of the rational numbers

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1. Torsion of elliptic curves in the compositum of Dihedral fields;International Journal of Number Theory;2022-08-18

2. Coincidences of division fields;Annales de l'Institut Fourier;2022-07-29

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