On Rota--Baxter operators on finite simple groups of Lie type
نویسندگان
1 Novosibirsk State University, Pirogova str. 1, P.O.Box 630090, Novosibirsk, Russia
2 Novosibirsk State University, Pirogova str. 1, P.O.Box 630090, Novosibirsk, Russia
doi
10.22108/ijgt.2026.147698.2003چکیده
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.
