On Rota--Baxter operators on finite simple groups of Lie type
Group Theory
2025-09-08 v1
Abstract
Rota--Baxter operators on groups were introduced by L. Guo, H. Lang, Yu. Sheng in 2020. In 2023, V. Bardakov and the second author showed that all Rota--Baxter operators on simple sporadic groups are splitting, i.\,e. they correspond to exact factorizations of groups. In 2024, the authors of the current paper described all non-splitting Rota--Baxter operators on alternating groups. Now we describe Rota--Baxter operators on finite simple exceptional groups of Lie type and projective special linear groups of degree two.
Keywords
Cite
@article{arxiv.2509.04961,
title = {On Rota--Baxter operators on finite simple groups of Lie type},
author = {Alexey Galt and Vsevolod Gubarev},
journal= {arXiv preprint arXiv:2509.04961},
year = {2025}
}
Comments
10 p