Timeline for Presentation of the Monster as a Hurwitz group
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 17, 2022 at 6:00 | vote | accept | Thomas | ||
| Sep 14, 2022 at 17:25 | comment | added | Ian Agol | A related question: is there a presentation by three involutions whose products have order 2, 3, and 7 respectively? | |
| Sep 14, 2022 at 13:18 | comment | added | Ian Agol | I suppose such a presentation gives a closed surface with the Monster group acting on it, but it will be pretty big. | |
| Sep 13, 2022 at 20:30 | answer | added | Martin Seysen | timeline score: 8 | |
| Jun 23, 2020 at 9:26 | comment | added | YCor | Actually, the last question does not depend on a presentation, but just on a generating subset $(a,b)$ satisfying the $(2,3,7)$ relations (presentation refers to an explicit set of relations). Whether there's a "short" presentation is intriguing, anyway. | |
| Jun 23, 2020 at 7:59 | comment | added | Derek Holt | I would guess that it would be possible to compute such a presentation by applying a standard change of generator algorithm to the existing presentation, although the resulting presentation would be unlikely to be particularly illuminating. To do that you would need to be able to do basic computations with elements of the Minster, but that is possible - Wilson has software for that. Wilson would also be the best person to ask about the minimal order of $[a,b]$. | |
| Jun 23, 2020 at 0:30 | comment | added | Noah Snyder | It doesn't look like this is known, at least none of the papers citing Wilson's paper seem to do it. I'm not an expert though so I suppose I could have missed something. | |
| Jun 23, 2020 at 0:10 | history | asked | Thomas | CC BY-SA 4.0 |