I am studying on my own Lens spaces from the algebraic topology viewpoint. I read about them on Hatcher's book as you can deduce from some of my previous questions:
I have been thinking...is it possible to construct even dimensional Lens spaces?
I have looked in Google but I haven't found anything. So I suspect that maybe the action doesn't work fine on even dimensional spheres. Any reference to look for it? or any argument in one or the other direction?
P:D: Just to remember, this is the definition of Lens space that I am using:
Thanks in advance!