Timeline for Can the unsolvability of quintics be seen in the geometry of the icosahedron?
Current License: CC BY-SA 3.0
22 events
| when toggle format | what | by | license | comment | |
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| May 24 at 2:11 | comment | added | Gerry Myerson | @Barry, I can't find anything at the William and Joseph site. | |
| May 23 at 15:38 | answer | added | user528410 | timeline score: 4 | |
| Mar 20, 2017 at 0:07 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Image links broken; now fixed.
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| Feb 17, 2016 at 19:34 | history | edited | user9072 |
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| May 27, 2014 at 16:30 | answer | added | Marcos Cossarini | timeline score: 31 | |
| Aug 20, 2013 at 15:44 | comment | added | Sam Nead | Sorry - I think that the figure only appears in the original German edition (as a fold out panel) and in a 1993 reprint (also in German but not as a fold out). | |
| Aug 20, 2013 at 15:27 | comment | added | Sam Nead | @John - there is a single figure, on the last page, in the German language edition. It is a lovely, labelled, rendering of the stereographic projection of the tiling of the sphere by (2,3,5) triangles. | |
| Jun 29, 2013 at 13:43 | vote | accept | Joseph O'Rourke | ||
| Jun 10, 2013 at 20:32 | answer | added | DavidLHarden | timeline score: 24 | |
| Jun 10, 2013 at 0:20 | comment | added | Allen Hatcher | Another possible source: "Abel's Theorem in Problems and Solutions" by V.B.Alekseev, based on a course by V.I.Arnold to high school students in Moscow in 1963-64. The approach is somewhat topological, interpreting the Galois group of a polynomial as the monodromy group of a branched cover of the 2-sphere associated to the polynomial. Unsolvability of the quintic is shown by using the geometry of an icosahedron to see that its symmetry group is not solvable. | |
| Jun 9, 2013 at 23:50 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
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| Jun 9, 2013 at 23:45 | comment | added | Joseph O'Rourke | @John: Oh, how disappointing! I just ordered it. But Shurman's book is illustrated. | |
| Jun 9, 2013 at 23:38 | comment | added | John Stillwell | Klein's book on the icosahedron is not everyone's idea of geometry. There is not a single picture in the whole book. | |
| Jun 9, 2013 at 15:44 | comment | added | Barry Cipra | I can't resist linking to a misnamed but nonetheless lovely icosahedral fountain sculpture: thewilliamandjosephgallery.com/main.php?g2_itemId=5966 -- who wouldn't want one of these bubbling away at the entrance to their math building? | |
| Jun 9, 2013 at 15:37 | comment | added | Sam Hopkins | Echoing Barry, this is available freely online: people.reed.edu/~jerry/Quintic/quintic.pdf | |
| Jun 9, 2013 at 15:28 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
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| Jun 9, 2013 at 15:27 | comment | added | Barry Cipra | Some of the answers at this question by Thomas Riepe in 2009 may help: mathoverflow.net/questions/9474/… | |
| Jun 9, 2013 at 15:00 | comment | added | Chandan Singh Dalawat | There is also a letter from Serre (from the early 80s), to someone who was writing a modern version of Klein's book. If memory serves me right, it can be found in his collected papers. | |
| Jun 9, 2013 at 13:42 | comment | added | Joseph O'Rourke | Thanks, Barry & Gerald! I will retrieve that book. (And pardon my ignorance!) | |
| Jun 9, 2013 at 13:10 | comment | added | Gerald Edgar | F. Klein, Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree. | |
| Jun 9, 2013 at 13:06 | comment | added | Barry Cipra | Didn't Felix Klein write a whole book on this? | |
| Jun 9, 2013 at 12:44 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |