Timeline for Amalgamated subgroup of an HNN extension finitely generated
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 5, 2019 at 14:58 | comment | added | YCor | Ah sorry I was giving a counterexample to the converse (you wrote "I have tried to do the same", but it's not the same). | |
| Oct 5, 2019 at 14:55 | comment | added | J.L. | @YCor but if $h_{1}\in L$, I would obtain that $L$ is generated by $\langle l_{1},\dots,l_{k},h_{1}$, so I have what I want | |
| Oct 5, 2019 at 14:50 | comment | added | YCor | Note that in your second paragraph you're stating something for some very particular instance of HNN extension (HNN with respect to identity automorphism of some given subgroup). For the question, the generality is a bit hopeless, as $D$ is likely not be mapped injectively without further assumption. For instance if $h_1\in L$ and $h_1h_2^{-1}$ generates normally $D$ then $D$ is killed in $H$. | |
| Oct 5, 2019 at 14:09 | history | asked | J.L. | CC BY-SA 4.0 |