Byott's conjecture on solubility of finite skew braces

Let AA be a finite skew brace with multiplicative group (A,)(A,\cdot) and circle group (A,)(A,\circ). Byott's conjecture. If (A,)(A,\cdot) is soluble, then (A,)(A,\circ) is soluble. The paper states that this conjecture is solved in the case of bi-skew braces; the general case is not resolved here.

Sources & referencesView supporting material

Primary source

L. Stefanello and S. Trappeniers, “On bi-skew braces and brace blocks”, arXiv:2205.15073 (2022).

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