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Detalles Bibliográficos
Autores principales: Verme, Giulia dal, Weigel, Thomas
Formato: Preprint
Publicado: 2021
Materias:
Acceso en línea:https://arxiv.org/abs/2107.09576
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  • In this paper a Bass-Serre theory in the groupoid setting is developed and a structure theorem is established. Any groupoid action without inversion of edges on a forest induces a graph of groupoids, while any graph of groupoids satisfying certain hypothesis admits a canonical associated groupoid, called the fundamental groupoid, and a forest, called the Bass-Serre forest, such that the fundamental groupoid acts on the Bass-Serre forest. The structure theorem states that these processes are mutually inverse.