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We construct a weight $1/2$ multiplier system for the group $\Gamma_0^+(p)$,the normalizer of the congruence subgroup $\Gamma_0(p)$ where $p$ is an oddprime, and we define an analogue of the eta function and Rademacher symbol andrelate it to the geometry of edge paths in a triangulation of the upper halfplane.

Weight $1/2$ multiplier systems for the group $\Gamma_0^+(p)$ and a geometric formulation