Skip to content

The University of Utah

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Home
Courses
Topics
LaTeX Exam Template
MathJax Sandbox

Question

Math 6510 • Differentiable Manifolds

Spring 2017 • Question 7

Question

Math 6510 • Differentiable Manifolds Spring 2017 • Question 7

Prove that the fundamental group of a finite connected graph is a free group.

Raw LaTeX

Prove that the fundamental group of a finite connected graph is a free
group.

Topic Tags

Free Groups, Graph Coverings, and Presentations Fundamental Groups

© 2026 The University of Utah

Nondiscrimination & Accessibility
Disclaimer
Privacy
Credits & Attributions
Media Contacts

X
Facebook
Instagram
Youtube
Linkedin