Timeline for Transitive permutation groups which all of their proper subgroups are intransitive
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Apr 16, 2016 at 11:57 | comment | added | majid arezoomand | Yes, you are right. I should edit my comment. I think that I should replace $S_{p^n}$ with $S_\Omega$, where $\Omega$ is arbitrary. | |
| Apr 16, 2016 at 11:35 | comment | added | Geoff Robinson | But it was already noted in my comment that a minimal transitive subgroup of $S_{p^{n}}$ is necessarily a $p$-group anyway. | |
| Apr 16, 2016 at 11:21 | comment | added | majid arezoomand | @ GeoffRobinson : Your proof works for the the more general case of nilpotent subgroups of $S_{p^n}$. I mean that we can say that a transitive nilpotent subgroup of $S_{p^n}$ is a minimal transitive subgroup if and only if each point-stabilizer contained in the Frattini subgroup. | |
| Apr 16, 2016 at 10:52 | comment | added | majid arezoomand | Dear Prof. Robinson, Thank you very much for your exact answer. | |
| Apr 15, 2016 at 13:18 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
expanded answer
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| Apr 15, 2016 at 12:31 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
typo
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| Apr 15, 2016 at 12:11 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
Comment on $p$-power case.
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| Apr 15, 2016 at 11:57 | history | undeleted | Geoff Robinson | ||
| Apr 14, 2016 at 19:09 | history | deleted | Geoff Robinson | via Vote | |
| Apr 14, 2016 at 19:08 | history | answered | Geoff Robinson | CC BY-SA 3.0 |