Timeline for Permutations of points in the projective plane
Current License: CC BY-SA 3.0
3 events
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Sep 26, 2017 at 15:44 | comment | added | Ben McKay | This doesn't answer the question quite. You can see that your $f$ generates a finite abelian group, since some power fixes 4 points. So then $f$ generates a finite cyclic subgroup of $PU(3)$, being compact so lying in a maximal compact. One can then diagonalize $f$. I hope this helps. | |
Sep 26, 2017 at 15:36 | history | edited | Ben McKay | CC BY-SA 3.0 |
added better reference
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Sep 26, 2017 at 15:26 | history | answered | Ben McKay | CC BY-SA 3.0 |