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Automorphism groups of Cayley evolution algebras

Authors :
Costoya, Cristina
Muñoz, Vicente
Tocino Sánchez, Alicia
Viruel, Antonio
Costoya, Cristina
Muñoz, Vicente
Tocino Sánchez, Alicia
Viruel, Antonio
Publication Year :
2023

Abstract

CRUE-CSIC (Acuerdos Transformativos 2023)<br />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 />Ministerio de Ciencia e Innovación (MICIN)<br />Junta de Andalucía<br />Depto. de Álgebra, Geometría y Topología<br />Fac. de Ciencias Matemáticas<br />TRUE<br />pub

Details

Database :
OAIster
Notes :
application/pdf, 1578-7303, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1413945464
Document Type :
Electronic Resource