My Math Forum Showing that an action of a group on a set is proper

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 November 24th, 2016, 09:37 PM #1 Newbie   Joined: Nov 2016 From: CA Posts: 2 Thanks: 0 Showing that an action of a group on a set is proper Let X represent the set = {1,2,3,4,5,6,7,8} Then the elements of the symmetry group (Dihedral Group- D8 ) permute the elements of the set. How do I show that the action of D8 on the set is proper? I understand that the group G must be a topological group (which is continuous) and so it must therefore be infinite. What I am stuck on is that the group is not infinite. I have used this website but I am unsure of what I am doing wrong. Thank you for reading.

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