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

On Rota-Baxter operators on finite simple groups of lie type Full article

Journal

International Journal of Group Theory
ISSN: 2251-7650 , E-ISSN: 2251-7669

Output data

Year: 2026, Volume: 15, Number: 4, Pages: 215-225 Pages count : 11 DOI: 10.22108/ijgt.2026.147698.2003

Tags

Rota-Baxter operator; Rota-Baxter group; simple exceptional group; projective special linear group; factorization

Authors

Galt A. ^1,2 , Gubarev V. ^1,2

Affiliations

1	Novosibirsk State Univ, Pirogova Str 1,POB 630090, Novosibirsk, Russia
2	Sobolev Inst Math, Acad Koptyug Ave 4,POB 630090, Novosibirsk, Russia

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.

Galt A. , Gubarev V.
On Rota-Baxter operators on finite simple groups of lie type
International Journal of Group Theory. 2026. V.15. N4. P.215-225. DOI: 10.22108/ijgt.2026.147698.2003 WOS Scopus

≡ Web of science:	WOS:001692222200001
≡ Scopus:	2-s2.0-105029967097