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arXiv · 2603.24637

On the multiplicative group of a two-sided skew brace of solvable type

Marco Damele
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Abstract

We prove that if $(B,+,\cdot)$ is a two-sided skew brace whose additive group is solvable, then every finite quotient of the multiplicative group $(B,\cdot)$ is solvable. In particular, our result recovers Nasybullov's theorem in the finite case ~\cite[Theorem~4.3(1)]{Nas} and extends it to arbitrary two-sided skew braces of solvable type.

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Marco Damele. 2026-03-25. On the multiplicative group of a two-sided skew brace of solvable type. https://arxiv.org/abs/2603.24637

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