Timeline for When did people start thinking of elliptic curves as groups?
Current License: CC BY-SA 3.0
16 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2021 at 13:24 | comment | added | Watson | Related: "DeĢveloppement de la loi de groupe sur une cubique - Norbert Schappacher" | |
| Mar 29, 2021 at 13:12 | comment | added | Watson | Possibly related: hsm.stackexchange.com/questions/5171/… | |
| S Jul 4, 2018 at 10:03 | history | suggested | Ali Taghavi |
I add a tag.
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| Jul 4, 2018 at 9:21 | review | Suggested edits | |||
| S Jul 4, 2018 at 10:03 | |||||
| Mar 29, 2018 at 18:26 | vote | accept | Kimball | ||
| Mar 29, 2018 at 16:24 | answer | added | Franz Lemmermeyer | timeline score: 18 | |
| Mar 15, 2018 at 19:00 | comment | added | LSpice | @Joël, as no expert on mathematical history, I think that a group in the sense of Galois probably means something like: a subgroup of a permutation group, i.e., a group equipped with a specific action on a previously existing set, rather than just a model for the modern collection of axioms. | |
| Mar 15, 2018 at 18:59 | history | edited | LSpice | CC BY-SA 3.0 |
Reference and omitted accents
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| Mar 14, 2018 at 2:36 | comment | added | Joël | What does Weil mean? What is "le mot de groupe au sens qu'il a pris depuis Galois" ? Why does an elliptic curve not define a group in that sense, but rather a "system of points". I understand French, but I still do not see what he means. | |
| Mar 13, 2018 at 20:14 | history | edited | Kimball | CC BY-SA 3.0 |
added 107 characters in body
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| Mar 13, 2018 at 11:08 | comment | added | Pop | @DavidRoberts: I agree with the second comment. The distinction made in your first comment seemed to be between "curve" and "Mordell--Weil group" or "group of rational points" (over some given field). That is what I was addressing. | |
| Mar 13, 2018 at 10:53 | comment | added | David Roberts♦ | @Pop but saying that an elliptic curve is a group scheme is more information yet, and implies the rational points form a group (even if only the trivial group). | |
| Mar 13, 2018 at 7:21 | comment | added | Pop | @DavidRoberts: the distinction is important because a curve (over $\mathbf Q$ say) contains more information than just its group of rational points. For example, there are plenty of elliptic curves over $\mathbf Q$ whose group of rational points is trivial. | |
| Mar 12, 2018 at 20:39 | answer | added | ThiKu | timeline score: 16 | |
| Mar 12, 2018 at 20:34 | comment | added | David Roberts♦ | I think people might have made the distinction at one time (perhaps even now) between the curve and the group of points, calling it the Mordell-Weil group of the curve. I myself don't understand this distinction, since surely an elliptic curve is a group scheme? | |
| Mar 12, 2018 at 20:26 | history | asked | Kimball | CC BY-SA 3.0 |