Timeline for $\left[x,y\right]$ as a product of palindromes of even length?
Current License: CC BY-SA 3.0
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| Nov 20, 2013 at 16:32 | comment | added | Elisabeth Fink | Sorry, yes of course then it holds because we can replace a palindrome of the form gxg by gx^{o(x)-1}g, where now o(x)-1 is even if o(x) is coprime to $2$, hence odd. | |
| Nov 20, 2013 at 16:30 | comment | added | Elisabeth Fink | This only works if the generators of $G$ don't have finite orders coprime to $2$. Could it still hold in some cases if we know that the generators of $G$ have finite orders coprime to $2$? | |
| Nov 19, 2013 at 18:03 | comment | added | Elisabeth Fink | Thanks! This also answers if it could be true if G was a soluble group! | |
| Nov 19, 2013 at 16:12 | history | answered | Jeremy Rickard | CC BY-SA 3.0 |