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Timeline for Rational groups

Current License: CC BY-SA 3.0

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Feb 4, 2013 at 4:31 vote accept Alireza Abdollahi
Feb 3, 2013 at 23:30 answer added Tim Dokchitser timeline score: 8
Feb 3, 2013 at 17:33 comment added M P Ok, now I see why my example is not a counterexample!
Feb 3, 2013 at 17:32 comment added Alireza Abdollahi @MP: Thanks I changed $g$ to $x$ in the centralizers. By a $p$-element I mean an element whose order is a power of $p$.
Feb 3, 2013 at 17:31 comment added Tim Dokchitser The dihedral group of order 24 is a counterexample: elements of order 3 and 4 are conjugate to their inverses, but for an element of order 12 $N/C$ has size 2 rather than 4.
Feb 3, 2013 at 17:30 history edited Alireza Abdollahi CC BY-SA 3.0
edited body; edited body
Feb 3, 2013 at 17:29 comment added Alireza Abdollahi @MP: If you mean by $Z/4$ the cyclic group of order $4$, it is not a counterexample.
Feb 3, 2013 at 17:28 comment added M P Btw, possibly I am confused: is your $g$ in the normalizer/centralizer formula an $x$? Also, by a $p$-element do you mean an element of order $p$ or of order a power of $p$?
Feb 3, 2013 at 17:17 comment added M P Isn't $Z/4$ a counterexample?
Feb 3, 2013 at 16:49 history asked Alireza Abdollahi CC BY-SA 3.0