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Given a self-similar groupoid action $(G,E)$ on a finite directed graph, weprove some properties of the corresponding ample groupoid of germs $\mathcalG(G,E)$. We study the analogue of the Higman-Thompson group associated to$(G,E)$ using $G$-tables and relate it to the topological full group of$\mathcal G(G,E)$, which is isomorphic to a subgroup of unitaries in thealgebra $C^*(G,E)$. After recalling some concepts in groupoid homology, wediscuss the Matui's AH-conjecture for $\mathcal G(G,E)$ in some particularcases.

Higman-Thompson groups from self-similar groupoid actions