2026-06-01T01:23:07Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/390302026-02-03T11:36:34Zcom_10630_2254col_10630_37953

00925njm 22002777a 4500 dc Díaz-Ramos, Antonio author Molinier, Rémi author Viruel-Arbaizar, Antonio Ángel author 2025-06-13 It is well known that not every finite group arises as the full automorphism group of some group. Here we show that the situation is dramatically different when considering the category of partial groups, Part, as defined by Chermak: given any group H there exists infinitely many non isomorphic partial groups M such that AutPart(M) ∼= H. To prove this result, given any simple undirected graph G we construct a partial group P(G), called the path partial group associated to G, such that AutPart P(G) ∼= AutGraphs(G). Díaz Ramos, A., Molinier, R. & Viruel, A. Path partial groups. Rev Mat Complut (2025). https://doi.org/10.1007/s13163-025-00532-w https://hdl.handle.net/10630/39030 10.1007/s13163-025-00532-w Automorfismos Grafos, Teoría de Grafos, Teoría de Path partial groups