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Homework Help: Factor groups

  1. May 6, 2010 #1
    This isn't exactly a homework problem I just want to clarify things for myself.

    I am looking back at my algebra notes and I am seeing cosets and factor groups in a new way.

    If N is a normal subgroup of G, then the set of left cosets of N forms a group under the coset multiplication given by

    aNbN = abN
    for all a,b G.

    so it looks like we are taking any expression in G lets say a(b+c)+d^2... and taking out whatever is in N and just putting in N. this looks very much like moding out by n in number theory.

    is this true? i don't really see a problem with it but I want to make sure there are no counter examples
  2. jcsd
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