About Goto's method showing surjectivity of word maps
arXiv:1207.5596
Abstract
Let F be the free group on two letters. For Ï \in F we study the associated word map Ï: SU(n) \times SU(n) \rightarrow SU(n). Extending a method of Goto, we show that for Ï not in the second derived subgroup F^(2) of F, there are infinitely many n \in N such that the associated word map Ï : SU(n) \times SU(n) \rightarrow SU(n) is surjective.
11 pages, no figures