On automorphism groups of idempotent evolution algebras

Sriwongsa, Songpon; Zou, Yi Ming

doi:10.1016/j.laa.2022.02.010

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Cited by 4 publications

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“…We end this section by pointing out that our main result is an improvement of our previous result [5,Theorem 1.1] where finite groups were realised by regular, but not simple (see Remark 3.6), evolution algebras (see also [15] for an independent proof in char k = 0).…”

Section: Introductionmentioning

confidence: 51%

Automorphism groups of Cayley evolution algebras

Costoya

Muñoz

Tocino

et al. 2023

Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

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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 $$\Bbbk $$ k contains sufficiently many elements (for example if $$\Bbbk $$ k is infinite) then every finite group G is isomorphic to $${\text {Aut}}(X)$$ Aut ( X ) where X is a finite-dimensional absolutely simple Cayley evolution $$\Bbbk $$ k -algebra.

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Section: Introductionmentioning

confidence: 51%

Automorphism groups of Cayley evolution algebras

Costoya

Muñoz

Tocino

et al. 2023

Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

View full text Add to dashboard Cite

show abstract

“…We end this section by pointing out that our main result is an improvement of our previous result [3,Theorem 1.1] where finite groups were realised by regular, but not simple (see Remark 3.6), evolution algebras (see also [12] for an independent proof in char k = 0).…”

Section: Introductionmentioning

confidence: 51%