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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1995 • Question 3

Question

Math 6510 • Differentiable Manifolds Fall 1995 • Question 3

Let \(G\) be a subgroup of index 3 in the free group of rank 2. Prove that \(G\) is free and find its rank.

Raw LaTeX

Let \(G\) be a subgroup of index 3 in the free group of rank 2. Prove
that \(G\) is free and find its rank.

Topic Tags

Free Groups, Graph Coverings, and Presentations