On Automorphism Groups of Idempotent Evolution Algebras

2022/02/02 by Sriwongsa, Songpon, Zou, Yi Ming · 1 citation
#FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2202.01333

Abstract

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.

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