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On Rota-Baxter operators on finite simple groups of lie type. / Galt, Alexey; Gubarev, Vsevolod.

In: International Journal of Group Theory, Vol. 15, No. 4, 2026, p. 215-225.

Research output: Contribution to journal › Article › peer-review

Harvard

Galt, A & Gubarev, V 2026, 'On Rota-Baxter operators on finite simple groups of lie type', International Journal of Group Theory, vol. 15, no. 4, pp. 215-225. https://doi.org/10.22108/ijgt.2026.147698.2003

APA

Galt, A., & Gubarev, V. (2026). On Rota-Baxter operators on finite simple groups of lie type. International Journal of Group Theory, 15(4), 215-225. https://doi.org/10.22108/ijgt.2026.147698.2003

Vancouver

Galt A, Gubarev V. On Rota-Baxter operators on finite simple groups of lie type. International Journal of Group Theory. 2026;15(4):215-225. doi: 10.22108/ijgt.2026.147698.2003

Author

Galt, Alexey ; Gubarev, Vsevolod. / On Rota-Baxter operators on finite simple groups of lie type. In: International Journal of Group Theory. 2026 ; Vol. 15, No. 4. pp. 215-225.

BibTeX

@article{49cbae89dc7548fcb9381a218aaccaf2,
title = "On Rota-Baxter operators on finite simple groups of lie type",
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 = "Rota–Baxter group, Rota–Baxter operator, factorization, projective special linear group, simple exceptional group",
author = "Alexey Galt and Vsevolod Gubarev",
note = "Galt A., Gubarev V. On Rota-Baxter operators on finite simple groups of lie type // International Journal of Group Theory. - 2026. - V. 15. - N 4. - P. 215-225. - DOI: 10.22108/ijgt.2026.147698.2003. The study was supported by a grant from the Russian Science Foundation № 23-71- 10005, https://rscf.ru/project/23-71-10005/",
year = "2026",
doi = "10.22108/ijgt.2026.147698.2003",
language = "English",
volume = "15",
pages = "215--225",
journal = "International Journal of Group Theory",
issn = "2251-7650",
publisher = "University of Isfahan",
number = "4",

}

RIS

TY - JOUR

T1 - On Rota-Baxter operators on finite simple groups of lie type

AU - Galt, Alexey

AU - Gubarev, Vsevolod

N1 - Galt A., Gubarev V. On Rota-Baxter operators on finite simple groups of lie type // International Journal of Group Theory. - 2026. - V. 15. - N 4. - P. 215-225. - DOI: 10.22108/ijgt.2026.147698.2003. The study was supported by a grant from the Russian Science Foundation № 23-71- 10005, https://rscf.ru/project/23-71-10005/

PY - 2026

Y1 - 2026

N2 - 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.

AB - 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.

KW - Rota–Baxter group

KW - Rota–Baxter operator

KW - factorization

KW - projective special linear group

KW - simple exceptional group

UR - https://www.scopus.com/pages/publications/105029967097

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001692222200001

UR - https://www.mendeley.com/catalogue/6c12f7c6-e173-3591-8279-ea814b3066ee/

U2 - 10.22108/ijgt.2026.147698.2003

DO - 10.22108/ijgt.2026.147698.2003

M3 - Article

VL - 15

SP - 215

EP - 225

JO - International Journal of Group Theory

JF - International Journal of Group Theory

SN - 2251-7650

IS - 4

ER -

ID: 75623897