Show that the even subgroup of ${\bf F}_2$ is generated by $S= \{x^{2}, xy, xy^{-1}\}$. I could use a little help getting started on this problem. I am new to the idea of free groups.
Even subgroup of a freegroup
4
$\begingroup$
group-theory
-
1Sorry... what is the even subgroup of a free group? – 2011-11-19
-
0From what I can understand, an even subfroup of a free group contains as its elements, words of even length. – 2011-11-20