$SU(n)$ and a free group of rank $2$

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So it was mentioned to me that the special unitary contains a free group of rank $2$ in it and its related to the Banach Tarski paradox, but I can't find any references to this. Can someone provide a brief explanation how the two are related and a sketch of how this result is proven, or even better point to me to some references which proves this in detail. Thanks.