Fundamental Group of lens space

seydunas

Hi

i want to see why the fundamental group of lens space L(p,q) is Z_p. Can you help me?

lavinia

I think that lens spaces are covered by the 3 sphere by the action of the cyclic group, Z/pZ

seydunas

So;

i have to ask again why that lens spaces are covered by the 3 sphere by the action of the cyclic group Z/pZ