Timeline for Realizing groups as the fundamental group of graphs of groups allowing non-injective maps?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 3, 2021 at 19:07 | comment | added | Benjamin Steinberg | A standard graph of torsion free groups is torsion free. Torsion is always conjugate to a vertex group | |
| Jun 3, 2021 at 16:23 | vote | accept | user101010 | ||
| Jun 3, 2021 at 16:23 | comment | added | user101010 | Oh, on second thought, I guess you can just take a group with no nontrivial free subgroups, for example. | |
| Jun 3, 2021 at 12:50 | comment | added | user101010 | Thanks this is very helpful! Maybe this is trivial (sorry I'm new to these things) - how do you construct such a f.p. group $G$ and prove that it can not be $\pi_1(\mathcal{G})$ for some graph of groups $\mathcal{G}$ with free group edges/vertices? I don't really know how to prove the analogous result in the f.g abelian case either. | |
| Jun 2, 2021 at 20:03 | history | edited | Benjamin Steinberg | CC BY-SA 4.0 |
deleted 31 characters in body
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| Jun 2, 2021 at 20:02 | comment | added | Benjamin Steinberg | OK. I guess it is. I kind of felt that the question is open ended. I'll revise | |
| Jun 2, 2021 at 19:58 | comment | added | Stefan Witzel | How is this not a complete answer? | |
| Jun 2, 2021 at 16:37 | history | answered | Benjamin Steinberg | CC BY-SA 4.0 |