Work

On the Sylow Theorem for Skew Braces

Year: 2026

Type: article

Abstract: 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, λ $\lambda $ lamda -homomorphic or supersoluble. We also show it to hold true for soluble skew braces that are left nilpotent and address a number of more specialized settings, proving general Hall-type theorems.

Source: Canadian Mathematical Bulletin

DOI: 10.4153/s0008439526102392

Authors: Andrea Caranti, Ilaria Del Corso, Massimiliano Di Matteo, Maria Ferrara, Marco Trombetti

Institutions: University of Trento, University of Pisa, University of Campania "Luigi Vanvitelli", Pegaso University, University of Naples Federico II

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze