Automorphism groups of Cayley evolution algebras
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 Cayl...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/73075 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/73075 |
| Access Level: | acceso abierto |
| Palabra clave: | 512.554 512.54 Evolution algebra Finite group Automorphism group Graph Álgebra 1201 Álgebra |
| Sumario: | 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. |
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