Automorphism groups of Cayley evolution algebras

Cristina Costoya; Vicente Muñoz; Alicia Tocino; Antonio Viruel

doi:10.1007/s13398-023-01414-w

Automorphism groups of Cayley evolution algebras

Rings and Algebras 2023-03-10 v2

Authors: 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.

Keywords

automorphism groups cayley graphs finite-dimensional algebras

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@article{arxiv.2207.01335,
  title  = {Automorphism groups of Cayley evolution algebras},
  author = {Cristina Costoya and Vicente Muñoz and Alicia Tocino and Antonio Viruel},
  journal= {arXiv preprint arXiv:2207.01335},
  year   = {2023}
}

Comments

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

Automorphism groups of Cayley evolution algebras

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