Timeline for Fixed points on boundary of hyperbolic group
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Aug 14, 2013 at 13:05 | vote | accept | user68316 | ||
| Aug 13, 2013 at 16:58 | comment | added | Misha | Actually, Noel Brady proved that every finite subgroup of $G$ has an orbit of radius $\le 2\delta+1$ ("A note on finite subgroups of hyperbolic groups"). From this, one gets an estimate on $R$. | |
| Aug 13, 2013 at 16:41 | comment | added | Misha | @LeeMosher: Lee: I am not sure how to get $r$ to be $\delta$. If $F$ has a fixed point in $C$ then one can take $r=2\delta$. In general, we only can say that $F$ has an orbit of diameter $\le R$ in $C$ and one can take $r=R+2\delta$. One can then estimate $R$ using $\delta$, but I do not feel like doing this. I corrected another typo in the definition of $r$ though. As for Lemma, it feels like the result should be in the literature, but I could not find it in the "standard" sources (I checked 7). | |
| Aug 13, 2013 at 16:29 | history | edited | Misha | CC BY-SA 3.0 |
minor corrections
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| Aug 13, 2013 at 13:45 | comment | added | Lee Mosher | Misha: I've fixed some typos. Also, shouldn't the right hand side of the inequality $\max_{g\in F_i} |g|\le r$ just be some multiple of $\delta$, the hyperbolicity constant? | |
| Aug 13, 2013 at 13:42 | history | edited | Lee Mosher | CC BY-SA 3.0 |
Fixed more typos
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| Aug 13, 2013 at 12:24 | history | edited | Lee Mosher | CC BY-SA 3.0 |
fixed a typo
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| Aug 12, 2013 at 22:02 | history | edited | Misha | CC BY-SA 3.0 |
added 3070 characters in body
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| Aug 9, 2013 at 22:44 | comment | added | Misha | @user68316: I do not have a reference (although I am sure it is written somewhere), I will write a proof when I have time. | |
| Aug 9, 2013 at 18:31 | comment | added | user68316 | Thanks. Could you please give a reference for the existence of the quasiconvex subgroup $H$? | |
| Aug 9, 2013 at 18:21 | history | answered | Misha | CC BY-SA 3.0 |