Automorphism groups of Cayley evolution algebras

Costoya, CristinaMuñoz, VicenteTocino Sánchez, AliciaViruel, Antonio2023-06-222023-06-222023-03-081578-730310.1007/s13398-023-01414-whttps://hdl.handle.net/20.500.14352/73075CRUE-CSIC (Acuerdos Transformativos 2023)In this paper we introduce a new species of evolution algebras that we call Cayley evolution algebras. We show that if a field k contains sufficiently many elements (for example if k is infinite) then every finite group G is isomorphic to Aut(X) where X is a finite-dimensional absolutely simple Cayley evolution k-algebra.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/Automorphism groups of Cayley evolution algebrasjournal articlehttps://doi.org/10.1007/s13398-023-01414-whttps://link.springer.com/article/10.1007/s13398-023-01414-wopen access512.554512.54Evolution algebraFinite groupAutomorphism groupGraphÁlgebra1201 Álgebra