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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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Official URL: https://doi.org/10.1007/s13398-023-01414-w
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.
| Item Type: | Article |
|---|---|
| Additional Information: | 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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