On Automorphism Groups of Idempotent Evolution Algebras

Songpon Sriwongsa; Yi Ming Zou

On Automorphism Groups of Idempotent Evolution Algebras

Rings and Algebras 2022-02-15 v2 Group Theory

Authors: Songpon Sriwongsa , Yi Ming Zou

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.

Keywords

automorphism groups algebra classification and gradings automorphisms of algebraic surfaces

Cite

@article{arxiv.2202.01333,
  title  = {On Automorphism Groups of Idempotent Evolution Algebras},
  author = {Songpon Sriwongsa and Yi Ming Zou},
  journal= {arXiv preprint arXiv:2202.01333},
  year   = {2022}
}

Comments

Some history of the paper and a new reference were added

Related papers

View all related →