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math.QA2025
Skew braces and Rota-Baxter operators on semi-direct products
Pragya Belwal, Mahender Singh
This paper examines the connections between (relative) Rota--Baxter groups, skew left braces, and enlargements of these structures on naturally associated semi-direct products. Giv…
math.QA2023
Schur multiplier and Schur covers of relative Rota-Baxter groups
Pragya Belwal, Nishant Rathee, Mahender Singh
Relative Rota-Baxter groups are generalizations of Rota-Baxter groups and share a close connection with skew left braces. These structures are well-known for offering bijective non…
math.QA2023
Cohomology and Extensions of Relative Rota-Baxter groups
Pragya Belwal, Nishant Rathee, Mahender Singh
Relative Rota-Baxter groups are generalisations of Rota-Baxter groups and recently shown to be intimately related to skew left braces, which are well-known to yield bijective non-d…