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Torsion of Rational Elliptic Curves over the Cyclotomic Extensions of ℚ

Speaker: Omer Avci

Date: Thu, Oct 31, 2024

Location: PIMS, University of Calgary

Conference: UCalgary Algebra and Number Theory Seminar

Subject: Mathematics, Algebraic Geometry, Number Theory

Class: Scientific

Abstract:

Let E be an elliptic curve defined over ℚ. Let p > 3 be a prime such that p - 1 is not divisible by 3, 4, 5, 7, 11. In this article, we classify the groups that can arise as E(ℚ(ζp))tors up to isomorphism. The method illustrates techniques for eliminating possible structures that can appear as a subgroup of E(ℚab)tors.