Timeline for Does a cocompact subgroup of a topological group contain a cocompact normal subgroup?
Current License: CC BY-SA 4.0
21 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 19, 2020 at 22:24 | answer | added | YCor | timeline score: 3 | |
| Mar 19, 2020 at 22:23 | history | edited | YCor | CC BY-SA 4.0 |
updated
|
| Mar 19, 2020 at 22:11 | comment | added | Ali Taghavi | @YCor Thanks for your suggestion. I add a new question: mathoverflow.net/questions/355271/… | |
| Mar 19, 2020 at 21:37 | comment | added | Ali Taghavi | @YCor yes I see. Very good siggestion. I do (a). | |
| Mar 19, 2020 at 20:22 | comment | added | YCor | The situation now that the title and the question are answered in comments, while the "remark" asks a more complicated and distinct question. I'd suggest to either (a) ask the "remark" in separate question (in which case I could answer this one with a cw answer to make the question settled) or (b) change the current "remark" into the main question (changing the title in particular) giving the original question and its easy examples only as context. I think (a) is a better solution (since these are quite drastic changes). | |
| S Mar 19, 2020 at 11:51 | history | suggested | gmvh | CC BY-SA 4.0 |
edited for grammar and punctuation
|
| Mar 19, 2020 at 11:23 | review | Suggested edits | |||
| S Mar 19, 2020 at 11:51 | |||||
| Mar 19, 2020 at 7:52 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
added 328 characters in body; edited tags
|
| Mar 16, 2020 at 16:59 | history | edited | Ali Taghavi |
edited tags
|
|
| Mar 16, 2020 at 16:54 | comment | added | Ali Taghavi | @NajibIdrissi In fact $G/H$ is the continuous image of $G/K$ not converse situation. | |
| Mar 16, 2020 at 16:50 | comment | added | Ali Taghavi | @YCor what other structures are appropriate for consideration of this concept. For example: which Lie algebras satisfies the following: every finite codimensional sub lie algebra contains a finite codinensional ideal. Or in the context if $C^*$ algebras: Which $C^*$ algebras satisfy the following property? Every finite codimensional subalgebra contains a finite codimension ideal. All of these properties are inspired by the initial group theoretical concept. | |
| Mar 16, 2020 at 16:43 | history | undeleted | Ali Taghavi | ||
| Mar 16, 2020 at 16:09 | history | deleted | Ali Taghavi | via Vote | |
| Mar 16, 2020 at 15:55 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
edited body
|
| Mar 16, 2020 at 15:55 | comment | added | YCor | @AliTaghavi a non-compact simple connected Lie group $G$ has no proper normal cocompact subgroup. But it has cocompact lattices, and also has connected cocompact proper subgroups (e.g., upper triangular matrices in $\mathrm{SL}_{n\ge 2}$ of $\mathbf{R}$ or $\mathbf{C}$). | |
| Mar 16, 2020 at 15:52 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
edited title
|
| Mar 16, 2020 at 15:51 | comment | added | Ali Taghavi | @MarkSapir may I ask you to ellaborate your comment or write a complete answer? Thank you. | |
| Mar 16, 2020 at 15:47 | comment | added | Ali Taghavi | @NajibIdrissi Put $G=H=\mathbb{R}$ and $K=\{0\}$ then $G/K$ is not a continuous image of $G/H$. Right? | |
| Mar 16, 2020 at 15:40 | comment | added | user6976 | Uniform lattices in $SL_3(\mathbb{R})$? | |
| Mar 16, 2020 at 15:39 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
deleted 3 characters in body
|
| Mar 16, 2020 at 15:35 | history | asked | Ali Taghavi | CC BY-SA 4.0 |