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Automorphism groups of Cayley evolution algebras

Authors :
Costoya, Cristina
Muñoz, Vicente
Tocino, Alicia
Viruel, Antonio
Publication Year :
2023
Publisher :
Springer, 2023.

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.<br />Comment: 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

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....cd58f61c03db93a8ef176a66e2bf3594