Automorphism groups of Cayley evolution algebras
| Autor: | Costoya, Cristina, Muñoz, Vicente, Tocino, Alicia, Viruel, Antonio |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Rev. R. Acad. Cienc. Exactas F\'is. Nat. Ser. A Mat. RACSAM 117, 82 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s13398-023-01414-w |
| Popis: | 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. Comment: This version of the article has been accepted for publication, after peer review but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is published under the Creative Commons Attribution license and can be freely dowloaded it from https://doi.org/10.1007/s13398-023-01414-w |
| Databáze: | arXiv |
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