Ive been reading an introduction on free groups and have come across some difficulty
if i have the free group $\mathbb{Z*Z}$ , then what would the generators of this group be?
i am confused as examples i have seen of free group generators tend to be finite where as $\mathbb{Z}$ is infinite.
any help on this would be great
Hint: This group is presented as $\langle g_1,g_2\ |\qquad\rangle$, i.e. a group in two generators, $g_1,g_2$ and with no relations between them.