English

Counterexample to a conjecture about braces

Group Theory 2015-07-24 v2 Rings and Algebras

Abstract

We find an example of a finite solvable group (in fact, a finite pp-group) without any left brace structure (equiv. which is not an IYB group). Our argument is an improvement of an argument of Rump, using previous work in other areas of Burde, and of Featherstonhaugh, Caranti and Childs, which we relate to brace theory.

Keywords

Cite

@article{arxiv.1507.02137,
  title  = {Counterexample to a conjecture about braces},
  author = {David Bachiller},
  journal= {arXiv preprint arXiv:1507.02137},
  year   = {2015}
}
R2 v1 2026-06-22T10:07:59.378Z