On the Sylow Theorem for Skew Braces
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-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.
Authors
- Marco Trombetti (ORCID: https://orcid.org/0000-0003-4532-3690)
- Maria Ferrara (ORCID: https://orcid.org/0000-0001-6002-327X)
- Ilaria Del Corso (ORCID: https://orcid.org/0000-0002-1981-4528)
- A. Caranti
- M. Di Matteo
Publication Details
- Journal
- Canadian Mathematical Bulletin
- Published
- 2026-08-03
- DOI
- https://doi.org/10.4153/s0008439526102392
- Primary Topic
- Structural Analysis and Optimization
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Ministero dell’Istruzione, dell’Università e della Ricerca
- Università di Pisa
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni