Questions on surface braid groups
Paolo Bellingeri, Eddy Godelle (LMNO)
TL;DR
This paper introduces new positive group presentations for surface braid groups, explores their properties, and solves the conjugacy problem in a specific case, advancing understanding of their algebraic structure.
Contribution
It provides novel positive presentations for surface braid groups and addresses the conjugacy problem in a particular case, which was previously unresolved.
Findings
New positive group presentations for surface braid groups
Properties of these presentations are analyzed
Conjugacy problem solved in a specific case
Abstract
We provide new group presentations for surface braid groups which are positive. We study some properties of such presentations and we solve the conjugacy problem in a particular case.
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Taxonomy
TopicsGeometric and Algebraic Topology · Computational Geometry and Mesh Generation · Advanced Numerical Analysis Techniques