Timeline for Explicit element in free group which is killed by every solvable quotient
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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Feb 3, 2012 at 18:40 | vote | accept | John Pardon | ||
Feb 2, 2012 at 22:34 | comment | added | Andy Putman | @HW : Good point! I don't know why that slipped my mind when I was writing this. I had just read Zassenhaus's paper (which proves a lot more than what I said) when this question arrived, so it was very fresh in my mind. | |
Feb 2, 2012 at 19:35 | comment | added | HJRW | Andy - or, for the finite case, you can combine Magnus' Theorem with the easy fact that nilpotent groups are residually finite. | |
Jan 30, 2012 at 23:06 | comment | added | Steve D | The fact that free groups are residually finite p-groups for any prime p follows quite nicely from the fact that $\begin{pmatrix} 1 & p\\ 0 &1\end{pmatrix}$ and $\begin{pmatrix} 1 & 0\\ p &1\end{pmatrix}$ generate a free group of rank 2. | |
Jan 30, 2012 at 22:46 | history | edited | Andy Putman | CC BY-SA 3.0 |
added 773 characters in body
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Jan 30, 2012 at 22:37 | history | answered | Andy Putman | CC BY-SA 3.0 |