Finite skew braces satisfy Schur-Zassenhaus for Hall ideals with complements and Sylow's third theorem on the count of Sylow p-sub-skew braces, with counterexamples for arbitrary sub-skew braces.
Skew brace extensions, second cohomology and com- plements
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2representative citing papers
Every ideal of coprime order in a finite skew brace admits a complement that is a sub-skew brace.
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The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces
Finite skew braces satisfy Schur-Zassenhaus for Hall ideals with complements and Sylow's third theorem on the count of Sylow p-sub-skew braces, with counterexamples for arbitrary sub-skew braces.
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A Schur--Zassenhaus Theorem for Finite Skew Braces
Every ideal of coprime order in a finite skew brace admits a complement that is a sub-skew brace.