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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4 Pith papers cite this work. Polarity classification is still indexing.
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The variety of skew braces is not action accessible.
Classification and structural description of simple involutive latin solutions to the Yang-Baxter equation with regular displacement group and nilpotent permutation group, including enumeration for size p^p.
Complete classification of extensions of trivial linear cycle sets by cyclic p-groups under finite conditions, with socle and center computed.
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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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Cohomology of Trivial Linear Cycle Sets
Complete classification of extensions of trivial linear cycle sets by cyclic p-groups under finite conditions, with socle and center computed.