On the linearity of fundamental groups of rose and star graphs of groups

2025/06/10 by D. Tsipa, Tsipa, D.
Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2506.09213

openalex publication_date 2025/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a fundamental group of a graph of group where the graph is a rose or a star graph and the vertex groups are free groups, free abelian groups or right-angled Artin groups. We prove the linearity of G over ℤ under various conditions on its edge groups.

Related

• Linearity of fundamental groups of graphs of virtually cyclic groups
• On the linearity of the holomorph group of a free group on two generators
• On the structure of fundamental groups of conic-line arrangements having a cycle in their graph
• On the elementary theory of graph products of groups
• On conditions for the approximability of the fundamental groups of graphs of groups by root classes of groups