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arXiv · 2207.01335

Automorphism groups of Cayley evolution algebras

Cristina Costoya·Vicente Muñoz·Alicia Tocino·Antonio Viruel
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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.

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Cristina Costoya, Vicente Muñoz, Alicia Tocino, Antonio Viruel. 2022-07-04. Automorphism groups of Cayley evolution algebras. https://doi.org/10.1007/s13398-023-01414-w

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