Timeline for An example of a simple infinite 2-group
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
|
|
| Jan 17, 2015 at 15:35 | comment | added | YCor | OK, I answered the question on StackExchange. | |
| Jan 17, 2015 at 14:30 | comment | added | Stefan Kohl♦ | @YCor: Why don't you write an answer, instead of putting your answer in a comment? -- This question certainly deserves it! | |
| Jan 16, 2015 at 16:01 | comment | added | YCor | Yes. Take the Burnside group on 2 generators and exponent $2^k$ for large $k$, which is known to be infinite (it's hard!). By the restricted Burnside problem (it's hard too), it has a minimal finite index subgroup, say $H$; hence $H$ is infinite, finitely generated and has no nontrivial finite quotient. Hence $H$ admits a simple quotient, which is necessarily infinite. | |
| Jan 16, 2015 at 15:58 | review | First posts | |||
| Jan 16, 2015 at 16:24 | |||||
| Jan 16, 2015 at 15:55 | history | asked | W4cc0 | CC BY-SA 3.0 |