Symmetric skew braces and brace systems

Valeriy G. Bardakov, Mikhail V. Neshchadim, Manoj K. Yadav

For a skew left brace $(G,\cdot ,\circ )$, the map $λ: (G, \circ) \to \Aut \,(G, \cdot),~~a \mapsto λ_a,$ where ${\lambda }_a(b)=a^{-1}\cdot (a\circ b)$ for all $a,b\in G$, is a group…