Timeline for Left-side cosets of an open subgroup
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 8, 2021 at 0:35 | comment | added | M masa | There exist $k_{1}, k_{2}\in K$ such that $g_{1}k_{1}, g_{2}k_{2}\in L$. Then $L\cap g_{i}K=g_{i}k_{i}(L\cap K), (i=1, 2)$ are both left cosets of $L\cap K$ in $L$. So I could take $x\in L$ such I needed in my Question. | |
| Apr 7, 2021 at 18:24 | comment | added | YCor | The question makes when $G$ is discrete, and trivially a positive answer in the discrete case implies a positive answer in general (just use the underlying group with the discrete topology). Hence, it's just a question about abstract groups. | |
| Apr 7, 2021 at 13:52 | history | edited | YCor | CC BY-SA 4.0 |
formatting, removed tags
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| Apr 7, 2021 at 13:40 | history | asked | M masa | CC BY-SA 4.0 |