Timeline for Ranks of iterated extensions of a group by free groups.
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Sep 23, 2021 at 1:45 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
fixed arxiv front-end link
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| Oct 4, 2010 at 14:06 | history | edited | user6976 | CC BY-SA 2.5 |
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| Oct 3, 2010 at 23:00 | comment | added | user6976 | @Yo: See Edit 4. | |
| Oct 3, 2010 at 22:14 | history | edited | user6976 | CC BY-SA 2.5 |
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| Oct 3, 2010 at 20:45 | comment | added | seldom seen | Mark, I can't figure out how to ensure that $G'$ has rank $2$. In Rips' original paper he adds two generators. Is there a another reference? I'm not having much luck combing through mathscinet. -yo | |
| Oct 3, 2010 at 20:30 | vote | accept | seldom seen | ||
| Oct 3, 2010 at 20:14 | history | edited | user6976 | CC BY-SA 2.5 |
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| Oct 3, 2010 at 20:01 | comment | added | seldom seen | You are supposed to go the other way, and build $G_{n+1}$, $G_{n+2}$, $G_{n+3}$, etc. | |
| Oct 3, 2010 at 19:55 | comment | added | user6976 | Example with hyperbolic groups give you the sequence in the opposite order: $G_n, G_{n-1},...$ where $G=G_n$. Here $G_n/free group=G_{n-1}, G_{n-1}/free group=G_{n-2}$, etc. | |
| Oct 3, 2010 at 19:49 | comment | added | seldom seen | Regarding Edit 2, I am trying to extend $G_0$ to $G_1$, $G_1$ to $G_2$, etc., not take further and further quotients of $G_0$. I think examples where $\mathrm{rank}(G_i)$ is bounded independently of $i$, with the ranks of $K_i$ not necessarily finite, would be very interesting as well. | |
| Oct 3, 2010 at 19:34 | history | edited | user6976 | CC BY-SA 2.5 |
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| Oct 3, 2010 at 19:08 | comment | added | seldom seen | Again, I should learn to be more specific. The $G_i$ should be commutative transitive. Editing to reflect. Thanks. | |
| Oct 3, 2010 at 18:57 | history | edited | user6976 | CC BY-SA 2.5 |
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| Oct 3, 2010 at 18:36 | comment | added | seldom seen | I should have been more specific. $K_i$ should be nonabelian. I apologize. | |
| Oct 3, 2010 at 18:34 | history | answered | user6976 | CC BY-SA 2.5 |