Classification of skew left braces with additive group isomorphic to the infinite dihedral group

Akihide Hanaki; Yuto Sakata; Hiroki Yoshino

Classification of skew left braces with additive group isomorphic to the infinite dihedral group

Group Theory 2026-06-28 v1

Authors: Akihide Hanaki , Yuto Sakata , Hiroki Yoshino

Abstract

We classify all skew left braces with additive group isomorphic to the infinite dihedral group. There are ten isomorphism classes.

Keywords

skew left brace infinite dihedral group classification isomorphism classes

Cite

@article{arxiv.2606.29641,
  title  = {Classification of skew left braces with additive group isomorphic to the infinite dihedral group},
  author = {Akihide Hanaki and Yuto Sakata and Hiroki Yoshino},
  journal= {arXiv preprint arXiv:2606.29641},
  year   = {2026}
}

Comments

12 pages