skew braces 2almost simple groups 1chain conditions 1finite groups 1group extensions 1ideal theory 1perfect groups 1set-theoretic solutions 1yang-baxter equation 1
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math.RA2026
On the Sylow Theorem for Skew Braces
A. Caranti, I. Del Corso, M. Di Matteo +2
We discuss the (first) Sylow theorem for certain classes of finite skew braces, proving it to hold true when the skew brace is two-sided, bi-skew, right nilpotent, -homomorphic…
math.RA2025
On Dedekind Skew Braces
A. Caranti, I. Del Corso, M. Di Matteo +2
Skew braces play a central role in the theory of set-theoretic non-degenerate solutions of the Yang--Baxter equation, since their algebraic properties significantly affect the beha…