Finite skew braces of square-free order and supersolubility

Finite skew braces of square-free order and supersolubility

Blog Article

The aim of this paper is to study supersoluble skew braces, a class of here skew braces that encompasses all finite skew braces of square-free order.It turns out that finite supersoluble skew braces have Sylow towers and that in an arbitrary supersoluble skew brace B many relevant skew brace-theoretical properties are easier to identify: For example, a centrally nilpotent ideal of B is B-centrally nilpotent, a fact that simplifies the computational search for the Fitting dorisvale station for sale ideal; also, B has finite multipermutational level if and only if $(B,+)$ is nilpotent.