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Small Sets of Generators for Handlebody Groups
Wajnryb gave a finite presentation of the handlebody group $\mathcal{M}(V_g)$ and showed that it is generated by five elements for $g\geq 2$. Using his relations, we show that $\mathcal{M}(V_g)$ is generated by three elements if $g\geq 2$.
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