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Mar 29, 2021 at 13:26 comment added Watson Juel's paper (especially §2, p. 77) can be found here: He explicitely writes the associativity formula. On p. 78, he writes "Alle die betrachten Punkte bilden also unter Zugrundelegung der Addition eine Gruppe deren Punkten [...] geordnet sind.".
Mar 29, 2018 at 21:19 comment added David Roberts Actually, I read recently that Poincaré didn't call abelian groups "groups", only non-abelian groups. So even if he knew the rational points formed a group, he wouldn't have said it in so many words.
Mar 29, 2018 at 18:26 vote accept Kimball
Mar 29, 2018 at 16:24 history answered Franz Lemmermeyer CC BY-SA 3.0