Timeline for Braids with an infinite number of strings
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| May 14, 2021 at 8:39 | comment | added | Martin Peters | @JosephVanName Thanks a lot! Would you have a reference? | |
| May 13, 2021 at 5:00 | comment | added | Joseph Van Name | The infinite strand braid group $B_{\infty}=\bigcup_{n}B_{n}$ has more features and hence a richer theory than the finite strand braid groups. The infinite strand braid group $B_{\infty}$ can be endowed with a self-distributive operation $*$ defined by letting $x*y=x\text{sh}(y)\sigma_{1}\text{sh}(x)^{-1}$ where $\text{sh}:B_{\infty}\rightarrow B_{\infty}$ is the group homomorphism defined by $\text{sh}(\sigma_{i})=\sigma_{i+1}$, and $(B_{\infty},*)$ actually contains the free one generator self-distributive algebra. There is no analogue of this in $B_{n}$. | |
| May 20, 2019 at 7:34 | comment | added | Martin Peters | @JoelReyesNoche Thank you! | |
| May 18, 2019 at 13:22 | comment | added | JRN | See en.wikipedia.org/wiki/… | |
| Feb 1, 2016 at 13:40 | review | Low quality posts | |||
| Feb 1, 2016 at 13:53 | |||||
| Feb 1, 2016 at 13:40 | history | edited | YCor |
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| Feb 1, 2016 at 13:25 | review | Low quality posts | |||
| Feb 1, 2016 at 13:38 | |||||
| Feb 1, 2016 at 13:21 | comment | added | Francesco Polizzi | References here: arxiv.org/pdf/math/0201303v3.pdf | |
| Feb 1, 2016 at 13:09 | history | asked | Martin Peters | CC BY-SA 3.0 |