Timeline for Maximal abelian subgroups of the full collineation group $\mathrm{P\Gamma L}_3(q)$
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Dec 7, 2020 at 10:32 | comment | added | Nick Gill | Ah, well that sounds just the ticket! | |
| Dec 5, 2020 at 10:36 | comment | added | Sean Eberhard | Thanks for your comment, it is helpful. Incidentally I have learned that there is a "Dembowski--Piper classification" of large abelian subgroups of collineation groups of projective planes (desarguesian or not). | |
| Dec 4, 2020 at 14:06 | comment | added | Nick Gill | I don't know of an easy reference, sorry. Lots of the elements in $P\Gamma L_3(K)$ have abelian centralizers I think. This is useful because (a) such centralizers must be maximum abelian subgroups; (b) if $g$ is an element with an abelian centralizer, then the only maximum abelian subgroup containing $g$ will be $C_G(g)$. You probably know this but anyway... | |
| Dec 3, 2020 at 13:38 | history | edited | YCor |
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| Dec 3, 2020 at 13:35 | history | asked | Sean Eberhard | CC BY-SA 4.0 |