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arXiv · 1207.5596

About Goto's method showing surjectivity of word maps

Abdelrhman Elkasapy·Andreas Thom
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Abstract

Let F be the free group on two letters. For {\omega} \in F we study the associated word map {\omega}: SU(n) \times SU(n) \rightarrow SU(n). Extending a method of Goto, we show that for {\omega} not in the second derived subgroup F^(2) of F, there are infinitely many n \in N such that the associated word map {\omega} : SU(n) \times SU(n) \rightarrow SU(n) is surjective.

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Abdelrhman Elkasapy, Andreas Thom. 2012-07-24. About Goto's method showing surjectivity of word maps. https://arxiv.org/abs/1207.5596

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