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arXiv · 2610.28420

Determinant characters and multiplicative solubility of finite skew braces

Marco Damele
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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.

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Marco Damele. 2026-10-20. Determinant characters and multiplicative solubility of finite skew braces. https://arxiv.org/abs/2610.28420

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