Orientable quadratic equations in wreath products

2025/03/03 by Ushakov, Alexander, Weiers, Chloe · 1 citation
#20F10 #20F16 #68W30 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2503.01929

Abstract

In this paper we study the complexity of solving orientable quadratic equations in wreath products A\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.

Cited by

• One variable equations over the lamplighter group

Related

• Equations in wreath products
• Quadratic equations in the lamplighter group
• Orientable quadratic equations in free metabelian groups
• The complexity of the equation solvability problem over semipattern groups
• Quadratic equations in the Grigorchuk group