Monomorphisms of free Burnside groups

In the paper, it is proved that, for any odd n a parts per thousand yen 1039, there are words u(x, y) and upsilon(x, y) over the group alphabet {x, y} such that, if a and b are any two noncommuting elements of the free Burnside group B(m, n), then, for some k, the elements u(a (k) , b) and upsilon(a (k) , b) freely generate a free Burnside subgroup of the group B(m, n). In particular, the facts proved in the paper imply the uniform nonamenability of the group B(m, n) for odd n, n a parts per thousand yen 1039.