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Fundamental Group of Quotient Space

  1. Dec 12, 2011 #1
    Hi

    I don't know how to attack the following question, any hints would be appreciated:

    If G is a simply connected topological group and H is a discrete subgroup, then [itex]\pi_1(G/H, 1) \cong H [/itex].


    Thank you

    James
     
  2. jcsd
  3. Dec 13, 2011 #2

    micromass

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    Do you know how to find the fundamental group of [itex]S^1[/itex] (using covering spaces). Can you adjust the proof a little bit such that it holds in this case??
     
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