The conjugacy problem in groups of orientable geometrizable 3-manifolds

TL;DR

This paper proves that the fundamental groups of orientable geometrizable 3-manifolds have a solvable conjugacy problem, advancing understanding of their algebraic properties.

Contribution

It establishes the solvability of the conjugacy problem specifically for fundamental groups of orientable geometrizable 3-manifolds, a significant class in geometric topology.

Findings

Fundamental groups of orientable geometrizable 3-manifolds have a solvable conjugacy problem.

The result applies to a broad class of 3-manifolds with important topological implications.

Abstract

We prove that fundamental groups of orientable (geometrizable) 3-manifolds have a solvable conjugacy problem.