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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2016 • Question 12

Question

Math 6510 • Differentiable Manifolds Fall 2016 • Question 12

Let \(G\) be a group of homeomorphisms acting freely on the \(n\)-sphere \(S^n\) with \(n\) even. Prove that \(G\) has at most 2 elements.

Raw LaTeX

Let \(G\) be a group of homeomorphisms acting freely on the \(n\)-sphere \(S^n\)
with \(n\) even. Prove that \(G\) has at most 2 elements.

Topic Tags

Smooth Manifolds and Embedded Submanifolds