A Counterexample to Byott's Conjecture for Finite Skew Braces
arXiv:2607.22795
Abstract
We construct a finite skew brace with soluble additive group and insoluble multiplicative group. The multiplicative group has a quotient isomorphic to $\PSL_2(7)$, and hence the example disproves Byott's conjecture.
arXiv comment15pp