A forcing relation of braids from Nielsen fixed point theory

TL;DR

This paper introduces a new forcing relation between braids, established through Nielsen fixed point theory, linking braid group dynamics with fixed point analysis.

Contribution

It presents a novel forcing relation for braids derived from Nielsen fixed point theory, expanding the understanding of braid group interactions.

Findings

New forcing relation between braids established

Connection between braid group and Nielsen fixed point theory demonstrated

Potential applications in topological dynamics suggested

Abstract

In this paper, we focus our attention on the connections between the braid group and the Nielsen fixed point theory. A new forcing relation between braids is introduced, and shown that it can be fulfilled by using Nielsen fixed point theory.