Timeline for Classes of finitely generated groups for which it is known whether they contain periodic groups
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 12, 2013 at 18:21 | comment | added | YCor | @ Al Tal: yes, there is a f.p. ascending HNN extension of the first Grigorchuk group, due to Grigorchuk as well. [R.I. Grigorchuk, An example of a finitely presented amenable group that does not belong to the class EG, Sb. Math. 189 (1–2) (1998) 75–95; Russian original: Mat. Sb. 189 (1) (1998) 79–100.] | |
| Jul 18, 2013 at 9:14 | comment | added | Al Tal | Yves, is there a short version of such a group when the exponents of the group are not necessarily bounded (the paper of Olshanskii and Osin is ~100 pages)? As I remember, in I-P-K-B result the bound is non-uniform, and the proof is long (not sure if one can find it in the web). | |
| Jul 18, 2013 at 9:13 | history | edited | Stefan Kohl♦ | CC BY-SA 3.0 |
Fixed a typo in an equality.
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| Jul 17, 2013 at 22:04 | comment | added | YCor | Another candidate for a "closest result" is the construction of finitely presented torsion-by-cyclic groups by Olshanski and Osin. | |
| Jul 17, 2013 at 14:47 | history | answered | Al Tal | CC BY-SA 3.0 |