Timeline for Torsion-freeness of two groups with 2 generators and 3 relators and Kaplansky Zero Divisor Conjecture
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
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| Feb 24, 2016 at 6:55 | answer | added | Zahra Taheri | timeline score: 8 | |
| Feb 24, 2016 at 6:04 | vote | accept | Alireza Abdollahi | ||
| S Feb 23, 2016 at 17:54 | history | suggested | Ali Taghavi |
I add algebraic topology tag because of some CW-complex (and topological) interpretations for torsion free groups(as fundamental groups of a cell complex)
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| Feb 23, 2016 at 17:44 | answer | added | user6976 | timeline score: 28 | |
| Feb 23, 2016 at 17:34 | comment | added | Ali Taghavi | There are some MO related posts: mathoverflow.net/questions/4478/… | |
| Feb 23, 2016 at 17:28 | review | Suggested edits | |||
| S Feb 23, 2016 at 17:54 | |||||
| Feb 23, 2016 at 17:26 | comment | added | Ali Taghavi | ...and its related MSE posts. | |
| Feb 23, 2016 at 17:03 | comment | added | Ali Taghavi | @DerekHolt Some methods in algebraic topology can be applied to prove that certain groups are torsion free. see for example:math.stackexchange.com/questions/1637635/… | |
| Feb 23, 2016 at 15:29 | comment | added | Derek Holt | I am not aware of any algorithmic methods for attempting to verify that a group defined by a finite presentation is torsion-free (unless the group can be proved to be nilpotent). I would be interested to learn about it if there are any, even if they only work in restricted circumstances. | |
| Feb 23, 2016 at 15:22 | history | edited | Alireza Abdollahi | CC BY-SA 3.0 |
added 389 characters in body
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| Feb 23, 2016 at 14:52 | comment | added | YCor | The computation of abelianization is an immediate computation (if I'm correct it's $Z\times Z/11Z$ for the first and $Z\times Z/21Z$ for the second), but I don't think it helps much. | |
| Feb 23, 2016 at 14:35 | comment | added | Alireza Abdollahi | @AliTaghavi. I will shortly write the mates. Those are of length 14. | |
| S Feb 23, 2016 at 14:31 | history | suggested | Ali Taghavi |
I add two tags
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| Feb 23, 2016 at 14:17 | comment | added | Ali Taghavi | What is the structure of $G/G'$? Is it torsion free? | |
| Feb 23, 2016 at 14:09 | comment | added | Ali Taghavi | What is the zero divisor-mate of 1+a+b? | |
| Feb 23, 2016 at 14:07 | review | Suggested edits | |||
| S Feb 23, 2016 at 14:31 | |||||
| Feb 23, 2016 at 13:58 | history | asked | Alireza Abdollahi | CC BY-SA 3.0 |