Some braces of cardinality \(p^4\) and related Hopf-Galois extensions

zbMath1495.16032arXiv2106.13735MaRDI QIDQ2117390

Agata Smoktunowicz, K. Nejabati Zenouz, D. Puljić

Publication date: 21 March 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13735

zbMATH Keywords

Hopf-Galois extensionsbraces

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Finite nilpotent groups, (p)-groups (20D15) Yang-Baxter equations (16T25)

Related Items (3)

Mini-workshop: Skew braces and the Yang-Baxter equation. Abstracts from the mini-workshop held February 26 -- March 4, 2023 ⋮ From braces to pre-Lie rings ⋮ On the passage from finite braces to pre-Lie rings

Cites Work

• Unnamed Item
• Braces, radical rings, and the quatum Yang-Baxter equation.
• Classification of cyclic braces.
• Retractability of set theoretic solutions of the Yang-Baxter equation
• Skew braces and Hopf-Galois structures of Heisenberg type
• Set-theoretic solutions of the Yang-Baxter equation, braces and symmetric groups
• A new formula for Lazard's correspondence for finite braces and pre-Lie algebras
• Classification of braces of order \(p^3\)
• On skew braces (with an appendix by N. Byott and L. Vendramin)
• Braces and the Yang-Baxter equation
• Skew braces and the Yang–Baxter equation
• Involutive Yang-Baxter groups
• REGULAR SUBGROUPS OF THE AFFINE GROUP AND RADICAL CIRCLE ALGEBRAS
• On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation
• Algebraic approach to Rump’s results on relations between braces and pre-lie algebras
• Skew braces of size pq
• Braces of order p2q
• Classification of cyclic braces, II
• Problems on skew left braces

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