Timeline for Infinite quotient of Hurwitz Group
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 22, 2013 at 2:11 | comment | added | Thomas | Yes, I'm just working on the simple (ish) cases. I'll stop when it gets too difficult. | |
| Aug 21, 2013 at 14:12 | comment | added | HJRW | "I am currently working through all the groups with two generators". Higman, Neumann and Neumann proved that every countable group embeds in a 2-generator group. So your project may take you a while... | |
| Aug 21, 2013 at 11:39 | comment | added | Thomas | Wow, is there a shorter representation of it, or is that the shortest? Also, you said something about computers last time, do you have some group theory program that you are using? | |
| Aug 21, 2013 at 7:26 | comment | added | Dima Pasechnik | if you know that there is a central element of order 2 then you know that there is a proper infinite quotient group... | |
| Aug 21, 2013 at 7:11 | comment | added | Derek Holt | Sorry I'm in a hurry! It's the commutator $[x,y]$, where (for example) $x=b * a * b * a * b^-1 * a * b * a * b * a * b^-1 * a * b * a * b^-1 * a * b^-1 * a * b * a * b^-1 * a * b^-1 * a * b * a * b^-1 * a$, $y=b * a * b^-1 * a * b * a * b^-1 * a * b^-1 * a * b * a * b^-1 * a * b^-1 * a * b * a * b^-1 * a * b * a * b * a * b^-1 * a * b * a$. | |
| Aug 21, 2013 at 7:10 | history | edited | Thomas | CC BY-SA 3.0 |
added 101 characters in body
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| Aug 21, 2013 at 7:06 | comment | added | Thomas | Ok then, what I need to know is: What is the central element in terms of a and b? Also, is there a way to prove that there aren't any more quotients? | |
| Aug 21, 2013 at 6:59 | comment | added | Derek Holt | This was answered in your earlier question. $G$ has a central element of order 2. | |
| Aug 21, 2013 at 4:46 | review | Close votes | |||
| Aug 21, 2013 at 11:35 | |||||
| Aug 21, 2013 at 4:32 | comment | added | Thomas | Why the downvote? The question is perfectly reasonable. | |
| Aug 21, 2013 at 4:14 | history | asked | Thomas | CC BY-SA 3.0 |