Automorphism groups of Cayley evolution algebras

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http://hdl.handle.net/2183/32929Collections
- Investigación (FIC) [1634]
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Automorphism groups of Cayley evolution algebrasDate
2023-03-08Citation
Costoya, C., Muñoz, V., Tocino, A. et al. Automorphism groups of Cayley evolution algebras. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 82 (2023). https://doi.org/10.1007/s13398-023-01414-w
Abstract
[Abstract]: 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.
Keywords
Evolution algebra
Finite group
Automorphism group
Graph
Finite group
Automorphism group
Graph
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Atribución 3.0 España
ISSN
1578-7303