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arXiv · 1407.3447

Surjectivity of certain word maps on PSL(2,C) and SL(2,C)

Tatiana Bandman·Yuri G. Zarhin
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Abstract

We show that an element w of a free group F on n generators defines a surjective word map of PSL(2,C)^n onto PSL(2,C) unless w belongs to the second derived subgroup of F. We also describe certain words maps that are surjective on SL(2,C) x SL(2,C). Here C is the field of complex numbers.

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Tatiana Bandman, Yuri G. Zarhin. 2014-07-13. Surjectivity of certain word maps on PSL(2,C) and SL(2,C). https://arxiv.org/abs/1407.3447

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