Timeline for Classes of finitely generated groups for which it is known whether they contain periodic groups
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
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| S May 20, 2015 at 10:59 | history | suggested | CommunityBot | CC BY-SA 3.0 |
added elementary amenable groups..
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| May 20, 2015 at 10:48 | review | Suggested edits | |||
| S May 20, 2015 at 10:59 | |||||
| Jul 18, 2013 at 0:32 | history | edited | Benjamin Steinberg | CC BY-SA 3.0 |
added 68 characters in body
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| Jul 17, 2013 at 23:06 | comment | added | Ian Agol | The relatively hyperbolic group needs to be non-trivial (so e.g. there isn't a single normal peripheral subgroup of finite-index). | |
| Jul 17, 2013 at 22:13 | comment | added | Stefan Kohl♦ | In any case, thanks to all contributors for the interesting examples! | |
| Jul 17, 2013 at 16:11 | comment | added | Stefan Kohl♦ | I find the reference to the Pumping Lemma particularly interesting -- though I am not sure whether it is of any use for obtaining progress with the class of groups I am looking at. | |
| Jul 17, 2013 at 14:27 | vote | accept | Stefan Kohl♦ | ||
| Jul 17, 2013 at 14:23 | history | edited | Derek Holt | CC BY-SA 3.0 |
added 246 characters in body
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| Jul 17, 2013 at 13:06 | comment | added | Benjamin Steinberg | @DerekHolt, yes it is an immediate consequence of the pumping lemma. This was Bob Gilman's nice observation. You can add this to the answer. It is CW. | |
| Jul 17, 2013 at 12:58 | comment | added | Derek Holt | The claim about regular language of unique normal forms is very easy to prove. Such a language would contain a subset of the form $\{ uv^nw \mid n \ge 0 \}$ for words $u,v,w$, and so the group element represented by $v$ must have infinite order. | |
| Jul 17, 2013 at 12:55 | history | edited | Benjamin Steinberg | CC BY-SA 3.0 |
added 39 characters in body; edited body
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| Jul 17, 2013 at 12:54 | comment | added | Benjamin Steinberg | Misha, please add. That's why it is CW! | |
| Jul 17, 2013 at 12:17 | comment | added | Misha | I would add here relatively hyperbolic groups. On the other hand, for CAT(0) groups, this seems to be an open problem (due to Swenson). | |
| S Jul 17, 2013 at 12:00 | history | answered | Benjamin Steinberg | CC BY-SA 3.0 | |
| S Jul 17, 2013 at 12:00 | history | made wiki | Post Made Community Wiki by Benjamin Steinberg |