Timeline for Finitely presented infinite group with no element of infinite order?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 29, 2022 at 6:35 | comment | added | David Roberts♦ | The link in Igor's first October 18 comment is broken, here's a replacement: arxiv.org/abs/math/0208237 | |
| Oct 23, 2011 at 4:52 | vote | accept | JeremyKun | ||
| Oct 18, 2011 at 21:40 | answer | added | Denis Osin | timeline score: 38 | |
| Oct 18, 2011 at 11:59 | comment | added | Igor Belegradek | I do not have expertise to comment on what is easier but I suggest you read the discussion on page 3 of Sapir's survey arxiv.org/pdf/0704.2899.pdf, where he reviews what is known and also says "...I am reasonably sure that a finitely presented infinite bounded torsion group exists (note that unbounded torsion infinite finitely presented groups are not known also)...". | |
| Oct 18, 2011 at 3:01 | comment | added | JeremyKun | So the von Neumann problem talks about non-amenable groups without non-abelian free subgroups, but I'm just looking for the existence of a copy of $\mathbb{Z}$. Wouldn't this be easier? | |
| Oct 18, 2011 at 2:38 | comment | added | Igor Belegradek | This is a famous open problem (which is still open as far as I know). See front.math.ucdavis.edu/0208.5237 for an example of a finitely presented monster, and for a discussion why they are hard to come by. | |
| Oct 18, 2011 at 2:15 | history | asked | JeremyKun | CC BY-SA 3.0 |