Timeline for Finite subquotients of R. Thompson's group $F$
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 18, 2019 at 11:32 | comment | added | grok | @MarkSapir: It seems to me that something much stronger is true: all known subgroups of $F$ are obtained from $F$ and $\mathbb Z$ using elementary operations. | |
| Aug 17, 2019 at 22:34 | comment | added | user6976 | @grok: Yes, all known subgroups of $F$ are either elementary amenable or contains a copy of $F$. But all finite groups are elementary amenable, so it does not answer your question. | |
| Aug 17, 2019 at 10:17 | comment | added | user6976 | @YCor: See papers by Brin (alone and with others) and papers by Golan (alone and with me). | |
| Aug 17, 2019 at 7:40 | comment | added | grok | I'm aware of a rich collection of f.g. subgroups, see pi.math.cornell.edu/~justin/Ftp/complexity_subgrp_F.pdf but they're all elementary amenable. | |
| Aug 17, 2019 at 5:34 | comment | added | YCor | @MarkSapir do you have a reference for "exotic" subgroups of $F$? | |
| Aug 16, 2019 at 19:34 | comment | added | user6976 | There are very exotic subgroups of $F$. I do not know their finite quotients. | |
| Aug 13, 2019 at 21:20 | history | asked | grok | CC BY-SA 4.0 |