Automorphism groups of Cayley evolution algebras



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Costoya, Cristina and Muñoz, Vicente and Tocino Sánchez, Alicia and Viruel, Antonio (2023) Automorphism groups of Cayley evolution algebras. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 117 (82). ISSN 1578-7303

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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.

Item Type:Article
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CRUE-CSIC (Acuerdos Transformativos 2023)

Uncontrolled Keywords:Evolution algebra; Finite group; Automorphism group; Graph
Subjects:Sciences > Mathematics > Algebra
ID Code:76965
Deposited On:14 Mar 2023 14:43
Last Modified:14 Mar 2023 14:48

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