Timeline for Is there a permutation group satisfying the following property?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jul 7, 2021 at 1:38 | comment | added | Master Gang | @varret Thanks. | |
| Jul 7, 2021 at 1:14 | history | edited | verret | CC BY-SA 4.0 |
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| Jul 7, 2021 at 1:11 | comment | added | verret | I fixe the construction. | |
| Jul 7, 2021 at 1:08 | history | edited | verret | CC BY-SA 4.0 |
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| Jul 6, 2021 at 8:32 | comment | added | Master Gang | @varret We must have $C_G(N)\leq N$ since $N=F(G)$ and $G$ is solvable. But this is impossible. | |
| Jul 6, 2021 at 8:30 | comment | added | Master Gang | @varret There may be some mistake in your example. When m=2, the group you constructed is of order 72, and it's not difficult to show that $O_2(G)=1, O_3(G)=N$. | |
| Jul 5, 2021 at 6:54 | comment | added | Master Gang | Thanks for your useful answer. | |
| Jul 5, 2021 at 6:41 | vote | accept | Master Gang | ||
| Jul 5, 2021 at 5:30 | history | edited | verret | CC BY-SA 4.0 |
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| Jul 5, 2021 at 5:21 | history | answered | verret | CC BY-SA 4.0 |