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Homework Help: Quotient groups

  1. Oct 12, 2008 #1
    Show that if H is a normal subgroup of G of prime index p, then for all subgroups K of G, either
    (i) K is a subgroup of H, or
    (ii) G = HK and |K : K intersect H| = p.
  2. jcsd
  3. Oct 12, 2008 #2


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    Well, what have you tried? And is G a finite group?
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