Analogues of Sylow's first, Cauchy's, and Hall's theorems are established for finite skew braces, with application to classification of order pq examples.
Semi-braces and the Yang-Baxter equation
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math.GR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Introduces left RG-semibraces from right groups to generate left non-degenerate set-theoretic Yang-Baxter equation solutions, properly generalizing left semibraces.
citing papers explorer
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Analogues of Sylow's first theorem, Cauchy's theorem, and Hall's theorem for skew braces
Analogues of Sylow's first, Cauchy's, and Hall's theorems are established for finite skew braces, with application to classification of order pq examples.
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Right groups and the set-theoretic Yang-Baxter equation
Introduces left RG-semibraces from right groups to generate left non-degenerate set-theoretic Yang-Baxter equation solutions, properly generalizing left semibraces.