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arXiv · 2505.15604

Group actions and automorphisms of evolution algebras associated to finite graphs

Mary Luz Rodiño Montoya·Natalia A. Viana Bedoya·Carlos Henao
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Abstract

Given an evolution algebra associated to a connected finite graph $\Gamma$, we exhibit a free action of the group of symmetries of $\Gamma$ on the set of automorphisms of the algebra. This allows us to explicitly describe this set and we prove that a sufficient condition for it to be finite is that every automorphism is induced by a graph symmetry. Consequently, we extend a known result about perfect evolution algebras to other families.

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Mary Luz Rodiño Montoya, Natalia A. Viana Bedoya, Carlos Henao. 2025-05-21. Group actions and automorphisms of evolution algebras associated to finite graphs. https://arxiv.org/abs/2505.15604

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