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
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.
