RT Journal Article
T1 Path partial groups
A1 Díaz-Ramos, Antonio
A1 Molinier, Rémi
A1 Viruel-Arbaizar, Antonio Ángel
K1 Automorfismos
K1 Grafos, Teoría de
K1 Grafos, Teoría de
AB It is well known that not every finite group arises as the full automorphism group ofsome group. Here we show that the situation is dramatically different when consideringthe category of partial groups, Part, as defined by Chermak: given any group H thereexists 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 groupP(G), called the path partial group associated to G, such that AutPart  P(G)  ∼=AutGraphs(G).
PB Springer Nature
YR 2025
FD 2025-06-13
LK https://hdl.handle.net/10630/39030
UL https://hdl.handle.net/10630/39030
LA eng
NO Díaz Ramos, A., Molinier, R. & Viruel, A. Path partial groups. Rev Mat Complut (2025). https://doi.org/10.1007/s13163-025-00532-w
NO Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026