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We compute both $Aut(\\Gamma_d(q))$ and $Out(\\Gamma_d(q))$ for $d \\geq 2$, and apply our results to count twisted conjugacy classes in these groups when $d \\geq 3$. Specifically, we show that when $d \\geq 3$, the groups $\\Gamma_d(q)$ have property $R_{\\infty}$, that is, every automorphism has an infinite number of twisted conjugacy classes. 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