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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2010 • Question 15

Question

Math 6510 • Differentiable Manifolds Spring 2010 • Question 15

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

Topic Tags

Smooth Manifolds and Embedded Submanifolds