Year: 2026
Type: preprint
Abstract: Let $B$ be a finite skew brace. We prove that if the additive derived subgroup $(B,+)'$ is nilpotent, then the multiplicative group $(B,\cdot)$ is soluble. In particular, this holds for finite skew braces with supersoluble or metabelian additive group.
Source: arXiv (Cornell University)
Author: Damele, Marco
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223110298