Timeline for Is Higman's group a free product?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 15, 2021 at 18:41 | comment | added | YCor | Your argument is correct: precisely it proves that it's not (nontrivial free); it's actually not a trivial group, which is not that obvious, so it's not free at all. But the question is not whether the Higman group is free, but whether it's a nontrivial free product. | |
| Jan 15, 2021 at 18:19 | comment | added | Jeff Strom | @YCor I don’t understand? The abelianization of a nontrivial free group is not zero. Since the abelianization of $G$ is zero, it’s not free? | |
| Jan 15, 2021 at 16:37 | comment | added | YCor | This doesn't answer the question. | |
| Jan 15, 2021 at 16:37 | history | answered | Jeff Strom | CC BY-SA 4.0 |