Timeline for Non-isomorphic two-transitive permutation groups with isomorphic point stabilizers
Current License: CC BY-SA 2.5
5 events
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| Feb 17, 2011 at 16:20 | comment | added | Frieder Ladisch | I would guess that two of the 2-transitive subgroups of $\operatorname{A\Gamma L}(1,7^6)$ of index $3$ provide an example, or more generally, subgroups of index $q$ of $\operatorname{A\Gamma L}(1, p^{kq})$, with $p$ and $q$ as above, and $k>1$. These are 2-transitive but not sharply 2-transitive, their order being $p^{kq}(p^{kq}-1)k$. | |
| Feb 17, 2011 at 10:31 | comment | added | Tom De Medts | Wonderful! :) A natural next question would be: are there other examples that are 2-transitive but not sharply 2-transitive? (This is just a question out of curiosity now, I'm perfectly happy with your examples!) | |
| Feb 17, 2011 at 10:29 | vote | accept | Tom De Medts | ||
| Feb 17, 2011 at 9:45 | history | edited | Derek Holt | CC BY-SA 2.5 |
added 632 characters in body
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| Feb 16, 2011 at 18:37 | history | answered | Derek Holt | CC BY-SA 2.5 |