Automorphism groups of Cayley evolution algebras

Costoya, Cristina; Muñoz, Vicente; Tocino, Alicia; Viruel, Antonio

Use this link to cite:

http://hdl.handle.net/2183/32929

Automorphism groups of Cayley evolution algebras

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Identifiers

URI: http://hdl.handle.net/2183/32929

Publication date

2023-03-08

Authors

Costoya, Cristina

Muñoz, Vicente

Tocino, Alicia

Viruel, Antonio

Bibliographic citation

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.