Timeline for Points of elliptic curves over cyclotomic extensions

7 events

when toggle format	what		by	license	comment
Jul 7, 2018 at 9:09	vote	accept	cll
Jul 6, 2018 at 20:52	comment	added	Will Sawin		@VesselinDimitrov Thanks for pointing that out. Specifically, the paper you link credits the resolution of the original question to Iwasawa.
Jul 6, 2018 at 20:29	comment	added	Vesselin Dimitrov		More generally, Lawrence (Proc. Amer. Math. Soc.) has proved that a countable abelian group carrying a discrete norm is free. Since $E(\mathbb{Q}^{\mathrm{ab}})$ has the strong Bogomolov property on the canonical height, the same result follows. Similarly, say, $E(\mathbb{Q}^{\mathrm{tr}}) / \mathrm{tors}$ is the direct sum of countably many copies of $\mathbb{Z}$. There was a paper ( arxiv.org/pdf/1408.4915.pdf ) on this by Grizzard, Habegger and Pottmeyer.
Jul 6, 2018 at 20:05	history	edited	Will Sawin	CC BY-SA 4.0	added 1 character in body
Jul 6, 2018 at 19:58	history	edited	Will Sawin	CC BY-SA 4.0	added 59 characters in body
Jul 6, 2018 at 19:48	history	edited	Will Sawin	CC BY-SA 4.0	added 814 characters in body
Jul 6, 2018 at 19:33	history	answered	Will Sawin	CC BY-SA 4.0