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arXiv · 2509.04961

On Rota--Baxter operators on finite simple groups of Lie type

Alexey Galt·Vsevolod Gubarev
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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.

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Alexey Galt, Vsevolod Gubarev. 2025-09-05. On Rota--Baxter operators on finite simple groups of Lie type. https://arxiv.org/abs/2509.04961

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