Proves Schur-Zassenhaus and Sylow theorems for finite skew braces: Hall ideals have complements, left ideals of prime-power order lie in Sylow sub-skew braces, and the number of Sylow p-sub-skew braces is congruent to 1 mod p.
Skew brace extensions, second cohomology and com- plements
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.GR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves that in a finite skew brace B, any ideal I with |I| coprime to |B/I| admits a complement in B.
citing papers explorer
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The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces
Proves Schur-Zassenhaus and Sylow theorems for finite skew braces: Hall ideals have complements, left ideals of prime-power order lie in Sylow sub-skew braces, and the number of Sylow p-sub-skew braces is congruent to 1 mod p.
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A Schur--Zassenhaus Theorem for Finite Skew Braces
Proves that in a finite skew brace B, any ideal I with |I| coprime to |B/I| admits a complement in B.