Timeline for Center of one-point stabilizer in 2-transitive groups
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 12, 2015 at 13:54 | vote | accept | Leandro Vendramin | ||
| Feb 11, 2015 at 14:51 | comment | added | Geoff Robinson | @Giuliano Bianco : F(G) is the Fitting subgroup of G. Since G has non-Abelian simple socle, the Fitting subgroup of G must be trivial, as must Z(G). I have fixed the reference to the simplicity of G- since G has no-Abelian simpe socle, G has trivial Fitting subgroup, so non non-identity element of G commutes with all its conjugates. – Geoff Robinson | |
| Feb 11, 2015 at 11:28 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
minor correction
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| Feb 11, 2015 at 11:21 | comment | added | Giuliano Bianco | @GeoffRobinson Also in the second answer, even after the last edit, you invoke (line 3) the simplicity of G, which is not in the hypothesis. By the way it is a really illuminating answer! Thank you prof. Robinson! | |
| Feb 11, 2015 at 11:18 | comment | added | Giuliano Bianco | @GeoffRobinson By F(G) (in the first answer) you mean Z(G), or, for some reason, the Fitting subgroup or what? | |
| Feb 11, 2015 at 10:09 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
rewrote last proof more carrefully
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| Feb 10, 2015 at 19:28 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
added different proof
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| Feb 2, 2015 at 17:34 | comment | added | Geoff Robinson | Possibly the first place it was recorded in the literature was in a paper of O.D. Artemovich in 1988 (see MR0952132) | |
| Feb 2, 2015 at 17:25 | comment | added | Leandro Vendramin | Thanks! Would you have a reference for this generalization of the Glauberman Z*-theorem? | |
| Oct 18, 2014 at 14:06 | history | edited | Geoff Robinson | CC BY-SA 3.0 |
typo and clarification
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| Oct 18, 2014 at 7:41 | history | answered | Geoff Robinson | CC BY-SA 3.0 |