Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
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3.I.3G

Geometry of Group Actions | Part II, 2007

Let GGG be a 2-dimensional Euclidean crystallographic group. Define the lattice and point group corresponding to GGG.

Prove that any non-trivial rotation in the point group of GGG must have order 2,3,42,3,42,3,4 or 6.6 .6.

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