Timeline for An atomic solvable Hausdorff topological group with a cardinality greater than that of real line
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Mar 24, 2017 at 11:27 | vote | accept | Minimus Heximus | ||
| Mar 13, 2017 at 12:06 | answer | added | Taras Banakh | timeline score: 2 | |
| Mar 11, 2017 at 18:56 | comment | added | Minimus Heximus | yes exactly I'm looking for a solvable minimal topologically simple group. if any. @TarasBanakh | |
| Mar 11, 2017 at 17:11 | comment | added | Taras Banakh | Oh, sorry, I did not notice that you are interested in solvable groups. Then you need to find a minimal solvable group $G$ in which every normal closed subgroup is either trivial or $G$? So, it looks like topologically simple. | |
| Mar 10, 2017 at 19:25 | comment | added | Minimus Heximus | I remember symmetric groups larger than $S_4$ are not solvable. @TarasBanakh | |
| Mar 9, 2017 at 7:48 | comment | added | Taras Banakh | It seems that for every cardinal $\kappa$ the group $Sym(\kappa)$ of permutations of $\kappa$ endowed with the topology of pointwise convergence is minimal and admits no weaker (Hausdorff) group topology. On the other hand, each topological group carries the (non-Hausdorff) anti-discrete topology. More information on the minimality of $Sym(\kappa)$ can be found in arxiv.org/pdf/1201.0087.pdf | |
| Mar 2, 2017 at 4:35 | history | edited | YCor |
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| Mar 2, 2017 at 3:15 | history | edited | Minimus Heximus | CC BY-SA 3.0 |
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| Mar 2, 2017 at 3:05 | history | edited | Minimus Heximus | CC BY-SA 3.0 |
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| Mar 1, 2017 at 3:43 | history | asked | Minimus Heximus | CC BY-SA 3.0 |