Timeline for A non-trivial property of all groups
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
|
|
| Mar 14, 2012 at 0:49 | history | edited | user6976 | CC BY-SA 3.0 |
deleted 9 characters in body
|
| Feb 10, 2011 at 1:36 | comment | added | user6976 | @Kevin: yes, see Andreas's answer below. | |
| Feb 9, 2011 at 22:17 | comment | added | Kevin Buzzard | For the updated question, you may as well replace the subsets with the subgroups they generate, right? So an equivalent question is: "if a group $G$ is the union of finitely many subgroups, is one of the subgroups of finite index?". | |
| Feb 9, 2011 at 22:15 | answer | added | Andreas Thom | timeline score: 13 | |
| Feb 9, 2011 at 21:51 | history | edited | user6976 | CC BY-SA 2.5 |
added 427 characters in body
|
| Feb 9, 2011 at 20:35 | vote | accept | CommunityBot | moved from User.Id=6976 by developer User.Id=69903 | |
| Feb 9, 2011 at 20:35 | comment | added | user6976 | @Andreas: You are correct, one need to generate up to finite index. | |
| Feb 9, 2011 at 20:01 | comment | added | Andreas Thom | To generate $G$ seems to be too much. I asked a modified form of this question as mathoverflow.net/questions/54921/… | |
| Feb 9, 2011 at 19:22 | answer | added | Stephen S | timeline score: 33 | |
| Feb 9, 2011 at 18:04 | comment | added | user6976 | Example: if $G$ is the additive group of integers, then $S$ may consist of the first $2/\epsilon$ prime numbers (since every two primes generate $G$). | |
| Feb 9, 2011 at 17:59 | comment | added | user6976 | $S$ depends on $\epsilon$ and $G$, so $|S|\gg 1/\epsilon$. | |
| Feb 9, 2011 at 17:47 | comment | added | ARupinski | Just to clarify that I am reading this correctly, we are fixing $G$ and $\epsilon$ and trying to determine if such an $S$ exists for the pair $(G,\epsilon)$? | |
| Feb 9, 2011 at 17:27 | history | asked | user6976 | CC BY-SA 2.5 |