Timeline for Freedom problem in hyperbolic groups
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Jan 3, 2020 at 3:16 | comment | added | YCor | @BenjaminSteinberg (You mean test finite order.) Indeed, you're right. It looks like a simpler approach. | |
Jan 3, 2020 at 0:49 | comment | added | Benjamin Steinberg | Can't you test finiteness in a hyperbolic group without using the conjugacy problem? Since there are only finitely many finite conjugacy classes of finite order there is a fixed number $n$ so that every element of finite order has order dividing $n$. To check finiteness you just raise an element to the power $n$ and use the word problem to check if you get $1$. | |
Jan 2, 2020 at 3:35 | comment | added | Misha | Ah, I see. Thank you! | |
Jan 1, 2020 at 23:10 | comment | added | YCor | (Please don't accept this answer, because the freeness problem in hyperbolic groups is more interesting.) | |
Jan 1, 2020 at 23:09 | history | answered | YCor | CC BY-SA 4.0 |