The nilpotent-type skew brace conjecture for finite solvable groups
The nilpotent-type skew brace conjecture for finite solvable groups
Let be a finite solvable group. A skew left brace of nilpotent type is a skew left brace whose additive group is nilpotent.
Nilpotent-type skew brace conjecture. The group is isomorphic to the multiplicative group of a skew left brace of nilpotent type.
This extends the construction for nilpotent groups and asks whether every finite solvable group can occur as the multiplicative group of a skew left brace with nilpotent additive group. The supplied text does not state whether the conjecture is known or open.
Progress summary
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Sources & referencesView supporting material
Primary source
Ferran Cedo and Jan Okninski, “New classes of IYB groups”, arXiv:2502.14805 (2025).
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