Timeline for Krasner–Kaloujnine universal embedding theorem for finitely generated groups?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 1 at 12:08 | comment | added | Matt Zaremsky | Just sort of a random remark, this theorem actually can be useful in the finitely generated world, since if $H$ is finite (and $A$ is finitely generated) then $A \mathrm{Wr} H$ is finitely generated (sort of cheating since it just equals the restricted version). For example this is the key to proving that if a finite index subgroup of your group embeds into Thompson's group $V$, then your group embeds in $V$. | |
| Sep 1 at 9:28 | comment | added | YCor | For a counterexample: the Heisenberg group is an extension of (central) $\mathbf{Z}$ by $\mathbf{Z}^2$ but does not embed into $\mathbf{Z}\wr\mathbf{Z}^2$. | |
| Sep 1 at 8:36 | history | became hot network question | |||
| Sep 1 at 6:20 | answer | added | AGenevois | timeline score: 6 | |
| Sep 1 at 0:53 | history | edited | tmh | CC BY-SA 4.0 |
added 11 characters in body
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| Sep 1 at 0:35 | history | asked | tmh | CC BY-SA 4.0 |