Timeline for Extending primitive systems in free groups
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Mar 3 at 20:39 | answer | added | Andy Putman | timeline score: 4 | |
| Mar 3 at 13:53 | comment | added | user524124 | @HJRW: I have no specific problem in mind at the moment. But well, one can study, say the asymptotic behavior of the proportion of the elements of the commutator subgroup of length $\le m$ which satisfy the condition, etc. What I started with is the case when $a_1,a_2,\ldots,a_n,b$ is in fact a basis of $F.$ In this case, the elements $c \in F'$ is in question are pretty understandable. However, if one drops the condition of being a basis, the problem immediately becomes (much) harder. | |
| Mar 3 at 13:20 | comment | added | HJRW | @user524124: not really, because there’s no well defined question here. Of course, there is lots of literature on the subject of bases of free groups. Can you be more specific about the problem you are trying to solve? | |
| Mar 3 at 11:06 | comment | added | user524124 | @Andy Putman: Yes, but there is always a chance that somebody considered the problem. | |
| Mar 3 at 11:04 | history | edited | user524124 | CC BY-SA 4.0 |
added 78 characters in body
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| Mar 2 at 21:36 | comment | added | Andy Putman | As you said, it is easy to generate plenty of examples. But I don't really think that there is any particularly nice characterization of such $c$, or a condition that isn't fairly trivial. | |
| Mar 2 at 12:36 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| S Mar 2 at 12:31 | review | First questions | |||
| Mar 2 at 13:06 | |||||
| S Mar 2 at 12:31 | history | asked | user524124 | CC BY-SA 4.0 |