On Automorphism Groups of Idempotent Evolution Algebras

Songpon Sriwongsa; Yi Ming Zou

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On Automorphism Groups of Idempotent Evolution Algebras

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arxiv 2202.01333 v2 pith:HALUWARC submitted 2022-02-02 math.RA math.GR

On Automorphism Groups of Idempotent Evolution Algebras

Songpon Sriwongsa , Yi Ming Zou This is my paper

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keywords automorphismevolutiongroupalgebrasidempotentalgebraclassifygroups

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We study the automorphism group of an idempotent evolution algebra, show that any finite group can be the automorphism group of an evolution algebra, and describe certain evolution algebras with given automorphism groups. In particular, we classify $n$-dimensional idempotent evolution algebras whose automorphism group is isomorphic to the symmetric group $S_n$, and classify idempotent evolution algebras with maximal diagonal automorphism subgroups.

On Automorphism Groups of Idempotent Evolution Algebras

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