Automorphism groups of Cayley evolution algebras

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Springer Nature

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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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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

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