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Using Geometric Group Theory to Find Free Generators of Subgroups of Free Groups

Year: 2025

Type: article

Abstract: This paper explores how algebraic topology can be used in group theory. More precisely, it describes how the operations known as folding and collapsing on colored directed graphs can be used to find a set of free generators of subgroups of free groups. The technique is illustrated with several examples.

Source: Mathematical Modeling and Algorithm Application

DOI: 10.54097/nfaxz289

Author: Kewei Li

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4414464752

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