In connected locally compact Hausdorff topological skew braces, solvability of the additive group forces solvability of the multiplicative group, with the two operations coinciding when the additive group is abelian and the brace is compact.
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Solvability and Rigidity for Topological Skew Braces
In connected locally compact Hausdorff topological skew braces, solvability of the additive group forces solvability of the multiplicative group, with the two operations coinciding when the additive group is abelian and the brace is compact.