Why is the Fundamental Group of Lens Space L(p,q) Z_p?

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seydunas
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Hi

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

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

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

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