Timeline for When do elements in the braid group $B_n$ commute?
Current License: CC BY-SA 4.0
22 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Jan 4, 2020 at 23:19 | history | bounty ended | user8253417 | ||
| S Jan 4, 2020 at 23:19 | history | notice removed | user8253417 | ||
| Jan 4, 2020 at 23:19 | vote | accept | user8253417 | ||
| Jan 4, 2020 at 9:18 | comment | added | Ryan Budney | The answer to your question is of course yes. Depending on what you need the answer for, you will find different answers to your question of more or less utility. Do you need the answer to this question for any particular purpose? | |
| Jan 3, 2020 at 16:57 | answer | added | Sam Nead | timeline score: 5 | |
| Jan 3, 2020 at 15:33 | answer | added | Ian Agol | timeline score: 7 | |
| Jan 2, 2020 at 1:11 | answer | added | Robbie Lyman | timeline score: 12 | |
| Jan 1, 2020 at 20:45 | answer | added | Vít Tuček | timeline score: 2 | |
| Jan 1, 2020 at 17:52 | answer | added | Noam D. Elkies | timeline score: 14 | |
| S Jan 1, 2020 at 14:37 | history | bounty started | user8253417 | ||
| S Jan 1, 2020 at 14:37 | history | notice added | user8253417 | Draw attention | |
| Jan 1, 2020 at 14:36 | history | edited | user8253417 | CC BY-SA 4.0 |
added 11 characters in body
|
| Dec 22, 2019 at 17:08 | comment | added | user6976 | I do not know. According to the paper by Galina Gurzo (the author Tal refers to), every centralizer of an element in $B_3$ is generated by three words which can be easily computed. I cannot find Gurzo's email. She seems to be working in Minsk, Belorussia, BGEU, but is not very active. | |
| Dec 22, 2019 at 16:24 | comment | added | user8253417 | @MarkSapir I have edited my question—do you know whether AITal's answer can be simplified for the case $B_3$? | |
| Dec 22, 2019 at 16:22 | history | edited | user8253417 | CC BY-SA 4.0 |
added 57 characters in body
|
| Dec 22, 2019 at 6:46 | comment | added | LSpice | The answer by AlTal referenced by @MarkSapir. | |
| Dec 22, 2019 at 6:29 | comment | added | user6976 | ... the answer by Tal there also answers the OP question. | |
| Dec 22, 2019 at 5:21 | comment | added | Santana Afton | You might be interested in this MO question and this partial answer (section 6) as referenced in the comments there. | |
| Dec 22, 2019 at 4:14 | comment | added | Dima Pasechnik | a necessary condition is that the images of $b_1$ and $b_2$ under the homomorphism into $S_n$ commute; this is something that can be checked directly. | |
| Dec 22, 2019 at 4:02 | history | edited | user8253417 | CC BY-SA 4.0 |
added 15 characters in body; edited body
|
| Dec 22, 2019 at 3:55 | review | First posts | |||
| Dec 22, 2019 at 7:11 | |||||
| Dec 22, 2019 at 3:51 | history | asked | user8253417 | CC BY-SA 4.0 |