Timeline for Subgroups of one-relator groups
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 16, 2021 at 10:28 | comment | added | HJRW | @YCor: I added it, as you suggest. | |
| Mar 16, 2021 at 0:27 | comment | added | YCor | @HJRW Nice; actually I believe it would be a useful additional answer to mathoverflow.net/questions/218422 | |
| Mar 16, 2021 at 0:20 | comment | added | HJRW | @YCor, see my comments on the answer below. Every infinite finitely generated subgroup of a one-relator group has infinite abelianisation. This rules out many 2-dimensional groups, including all with property T. | |
| Mar 15, 2021 at 13:57 | history | edited | Sam Nead |
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| Mar 15, 2021 at 13:46 | comment | added | LSpice | The comment referenced by @YCor. | |
| Mar 15, 2021 at 11:51 | comment | added | YCor | PS the cohomological dimension fact mentioned by Carl in a comment to his answer seems to discard many hyperbolic groups. | |
| Mar 15, 2021 at 11:35 | comment | added | YCor | I don't know if any hyperbolic group is known not to embed into any 1-relator group (I don't know either for $C'(1/6)$ f.p. groups). At the same time, I don't know if a 1-relator group may contain an infinite Property T subgroup. | |
| Mar 15, 2021 at 11:09 | answer | added | Carl-Fredrik Nyberg Brodda | timeline score: 3 | |
| Oct 4, 2014 at 17:10 | answer | added | HJRW | timeline score: 10 | |
| Oct 4, 2014 at 12:19 | history | asked | Seirios | CC BY-SA 3.0 |