English

Orientable quadratic equations in wreath products

Group Theory 2025-03-05 v1

Abstract

In this paper we study the complexity of solving orientable quadratic equations in wreath products ABA\wr B of finitely generated abelian groups. We give a classification of cases (depending on genus and other characteristics of a given equation) when the problem is computationally hard or feasible.

Keywords

Cite

@article{arxiv.2503.01929,
  title  = {Orientable quadratic equations in wreath products},
  author = {Alexander Ushakov and Chloe Weiers},
  journal= {arXiv preprint arXiv:2503.01929},
  year   = {2025}
}
R2 v1 2026-06-28T22:05:17.555Z