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Paper IPM / M / 17866  


Abstract:  
Let K be an algebraically closed field of characteristic p â¥0. Assume F, F(1), F(2), and (F(1))p are the free group on n >1 generators, the first and second derived subgroups of F, and the subgroup of F(1) generated by all ppowers, respectively. In this paper, among other results, we show that for any word wâF(1)\F(2)(F(1))p, the corresponding word map w:nPSL2(K) âPSL2(K) is surjective. We show that the class of such words wcontains, for instance, all (weakly) Engel words.
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