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math.GR2025
On Rota--Baxter operators on finite simple groups of Lie type
Alexey Galt, Vsevolod Gubarev
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…
math.GR2024
Rota-Baxter operators on dihedral and alternating groups
Alexey Galt, Vsevolod Gubarev
Rota-Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang-Baxter equation, pre- and postalgebras, double Poisson algebras, etc…