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We prove that the hyperelliptic mapping class group of a nonorientablesurface of genus $g\geq 4$ has a faithful linear representation of dimension$g^2-1$ over $\mathbb{R}$.

The hyperelliptic mapping class group of a nonorientable surface of genus $g\geq 4$ has a faithful representation into $GL(g^2-1,\mathbb{R})$