Timeline for HNN Embedding Theorem for Amenable Groups?
Current License: CC BY-SA 2.5
6 events
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Sep 22, 2010 at 13:23 | comment | added | Simon Thomas | @Mark: Fair enough! | |
Sep 22, 2010 at 13:08 | history | edited | user6976 | CC BY-SA 2.5 |
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Sep 22, 2010 at 13:06 | comment | added | user6976 | @Simon: OK, I was too quick. I meant all finite groups (because they are all in $S_\infty$. I have modified the answer. | |
Sep 22, 2010 at 12:43 | comment | added | Simon Thomas | In fact, isn't your group the finitary permutations of $\mathbb{Z}$ extended by the shift? If so, it certainly doesn't contain all countable locally finite groups .... | |
Sep 22, 2010 at 11:37 | comment | added | Simon Thomas | Could you say a little more about why every countable locally finite group embeds in your group? (The construction of Hall's universal locally finite group proceeds by iterating the left regular permutation representation ... how does the shift manage this?) | |
Sep 22, 2010 at 10:39 | history | answered | user6976 | CC BY-SA 2.5 |