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Automorphism groups of Cayley evolution algebras

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dc.contributor.authorCostoya, Cristina
dc.contributor.authorMuñoz, Vicente
dc.contributor.authorTocino Sánchez, Alicia
dc.contributor.authorViruel, Antonio
dc.date.accessioned2023-06-22T12:42:26Z
dc.date.available2023-06-22T12:42:26Z
dc.date.issued2023-03-08
dc.descriptionCRUE-CSIC (Acuerdos Transformativos 2023)
dc.description.abstractIn 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.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICIN)
dc.description.sponsorshipJunta de Andalucía
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/76965
dc.identifier.doi10.1007/s13398-023-01414-w
dc.identifier.issn1578-7303
dc.identifier.officialurlhttps://doi.org/10.1007/s13398-023-01414-w
dc.identifier.relatedurlhttps://link.springer.com/article/10.1007/s13398-023-01414-w
dc.identifier.urihttps://hdl.handle.net/20.500.14352/73075
dc.issue.number82
dc.journal.titleRev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.
dc.language.isoeng
dc.publisherSpringer
dc.relation.projectIDPID2020-115155GB-I00; TED2021-131201B-I00; PID2020-118452GB-I00; PID2019-104236GB-I00; PID2020–118753GB-I00
dc.relation.projectIDUMA18-FEDERJA-119; FQM-336; PROYEXCEL-00827; FQM-213
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu512.554
dc.subject.cdu512.54
dc.subject.keywordEvolution algebra
dc.subject.keywordFinite group
dc.subject.keywordAutomorphism group
dc.subject.keywordGraph
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleAutomorphism groups of Cayley evolution algebras
dc.typejournal article
dc.volume.number117
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