Timeline for Maximal subgroups of $S_{\Bbb N}$ and $A_{\Bbb N}$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 25, 2023 at 8:09 | history | edited | Sean Eberhard | CC BY-SA 4.0 |
corrected description of maximal imprimitives in FSym (blocks must be finite)
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| Jul 24, 2023 at 15:59 | history | edited | Sean Eberhard | CC BY-SA 4.0 |
change from denying the existence of an answer to giving a complete trivial answer
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| Jul 24, 2023 at 15:53 | history | edited | Sean Eberhard | CC BY-SA 4.0 |
change from denying the existence of an answer to giving a complete trivial answer
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| Jul 24, 2023 at 15:35 | comment | added | Sean Eberhard | I think the answer is yes. Editting now. | |
| Jul 24, 2023 at 15:34 | comment | added | Will Sawin | Similarly in $A_{\mathbb N}$ the natural question is if every maximal subgroup isomorphic to $S_{\mathbb N}$ is the stabilizer of a pair of points. | |
| Jul 24, 2023 at 15:29 | comment | added | Sean Eberhard | Until the question was editted I did not understand that we are restricting here $G \cong S_{\mathbb N}$. Is it possible that every such maximal subgroup is a point stabilizer? Any other example must be primitive. | |
| Jul 24, 2023 at 15:03 | comment | added | Sean Eberhard | @DaveBenson It is principally, yes, but they also discuss the finitary symmetric group and my reading is that that line also includes that case (but I would be happy to be proved wrong). | |
| Jul 24, 2023 at 14:56 | comment | added | Dave Benson | I think this section of Dixon & Mortimer is about the full symmetric group, not the finitary one. | |
| Jul 24, 2023 at 13:33 | history | answered | Sean Eberhard | CC BY-SA 4.0 |