English

Constructing skew left braces whose additive group has trivial centre

Group Theory 2025-02-05 v1 Rings and Algebras

Abstract

A complete description of all possible multiplicative groups of finite skew left braces whose additive group has trivial centre is shown. As a consequence, some earlier results of Tsang can be improved and an answer to an open question set by Tsang at Ischia Group Theory 2024 Conference is provided.

Keywords

Cite

@article{arxiv.2405.14699,
  title  = {Constructing skew left braces whose additive group has trivial centre},
  author = {A. Ballester-Bolinches and R. Esteban-Romero and P. Jiménez-Seral and V. Pérez-Calabuig},
  journal= {arXiv preprint arXiv:2405.14699},
  year   = {2025}
}

Comments

9 pages

R2 v1 2026-06-28T16:37:29.604Z