Skew braces from Rota-Baxter operators: a cohomological characterisation and some examples

DOI10.1007/S10231-022-01230-WOpenAlexW4221162317WikidataQ114228127 ScholiaQ114228127MaRDI QIDQ2678895

L. Stefanello, Andrea Caranti

Publication date: 25 January 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.03936

zbMATH Keywords

endomorphismsgroup cohomologycentral extensionsliftingsRota-Baxter operatorsskew braces

Mathematics Subject Classification ID

Cohomology of groups (20J06) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (6)

The mutually normalizing regular subgroups of the holomorph of a cyclic group of prime power order ⋮ Symmetric skew braces and brace systems ⋮ Extensions and automorphisms of Rota-Baxter groups ⋮ Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects ⋮ Some properties of skew braces that are invariant under isoclinism ⋮ Rota-Baxter operators on Clifford semigroups and the Yang-Baxter equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analytic problem whose solution follows from a simple algebraic identity
• Braces, radical rings, and the quatum Yang-Baxter equation.
• Hopf Galois theory for separable field extensions
• From endomorphisms to bi-skew braces, regular subgroups, the Yang-Baxter equation, and Hopf-Galois structures
• Integration and geometrization of Rota-Baxter Lie algebras
• Rota-Baxter groups, skew left braces, and the Yang-Baxter equation
• Hopf-Galois structures on extensions of degree \(p^2q\) and skew braces of order \(p^2q\): the cyclic Sylow \(p\)-subgroup case
• On skew braces (with an appendix by N. Byott and L. Vendramin)
• Braces and the Yang-Baxter equation
• Brace blocks from bilinear maps and liftings of endomorphisms
• Skew braces and the Yang–Baxter equation
• Uniqueness of hopf galois structure for separable field extensions

This page was built for publication: Skew braces from Rota-Baxter operators: a cohomological characterisation and some examples