RT Journal Article
T1 Permutation Representations and Automorphisms of Evolution Algebras
A1 Costoya, Cristina
A1 Mayorga-Pedraza, Pedro
A1 Viruel-Arbaizar, Antonio Ángel
K1 Grupos de permutaciones
K1 Automorfismos
K1 Grafos, Teoría de
AB We prove that the natural permutation representation of highlytransitive finite groups cannot be realized as the full automorphismgroup of an idempotent, finite-dimensional evolution algebra acting onthe set of lines spanned by its natural elements. Specifically, for any suf-ficiently large integer n and k ≥ 4, there does not exist an idempotentevolution algebra X of dimension n such that Aut(X) is isomorphic to aproper k-transitive subgroup of Sn. Nevertheless, we show that for anyfinite group G, any permutation representation ξ : G → Sn, and any fieldk, there exists an idempotent, finite-dimensional evolution k-algebra Xsuch that Aut(X) ∼= G, and the induced representation of Aut(X) onthe natural idempotents of X is equivalent to ξ.
PB Springer
YR 2025
FD 2025
LK https://hdl.handle.net/10630/40024
UL https://hdl.handle.net/10630/40024
LA eng
NO Costoya, Cristina, Mayorga, Pedro, Viruel, Antonio. (2025). Permutation Representations and Automorphisms of Evolution Algebras, Mediterr. J. Math. (2025) 22:149. doi.org/10.1007/s00009-025-02924-0
NO Universidad de Málaga/CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026