Timeline for Free partners in semi-direct products
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 22, 2021 at 13:08 | comment | added | markvs | Try replacing $\mathbb Z$ by a residually finite hyperbolic linear group with property (T), say $SO(n,1)$. | |
| Aug 22, 2021 at 12:35 | comment | added | Doryan Temmerman | I agree that for the example $\mathbb{Z} \ast C_2$ the set $\mathcal{F}$ is profinitely dense, and so that it can happen, thanks! The reason why I did not think of this example is that actually the groups $G$ I am considering also satisfy a stronger property (Kazhdan's Property (T)) which would imply that it can not be a free product itself. Note that for such groups the set $\mathcal{F}$ can be non-empty. Do you think that there is still an example among such groups? | |
| Aug 22, 2021 at 0:20 | history | edited | markvs | CC BY-SA 4.0 |
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| Aug 21, 2021 at 23:48 | history | edited | markvs | CC BY-SA 4.0 |
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| Aug 21, 2021 at 23:41 | history | edited | markvs | CC BY-SA 4.0 |
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| Aug 21, 2021 at 23:12 | history | edited | markvs | CC BY-SA 4.0 |
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| Aug 21, 2021 at 22:47 | history | answered | markvs | CC BY-SA 4.0 |