“School of Mathematics”
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| Paper IPM / M / 17866 |
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| Abstract: | |
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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 p-powers, 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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