On finite trifactorised groups and Sylow and Hall theorems for skew braces

Abstract

Abstract The aim of this short note is to show that the Sylow theorem (respectively Hall theorem) for finite skew braces proved by Truman in [4] is a direct consequence of the Sylow structure (resp. Hall structure) of a finite trifactorised group. A Cauchy theorem for finite skew braces naturally emerges.