A note on right-nil and strong-nil skew braces
Group Theory
2024-12-10 v3 Rings and Algebras
Abstract
The aim of this short note is to completely answer Questions 2.34 and 2.35 of arXiv:1806.01127. In particular, we show that a finite strong-nil skew brace of abelian type need not be right-nilpotent, but that this is the case if~ is of nilpotent type and for all (our examples show that this is the best possible result).
Keywords
Cite
@article{arxiv.2310.11123,
title = {A note on right-nil and strong-nil skew braces},
author = {Adolfo Ballester-Bolinches and Maria Ferrara and Vicent Pérez-Calabuig and Marco Trombetti},
journal= {arXiv preprint arXiv:2310.11123},
year = {2024}
}
Comments
Accepted version to be published in Proc. Royal Soc. Edinburgh Section A