Recent content by landor

  1. L

    Social network for user-generated data

    How about a social network whose vertices are user-generated data objects (e.g. math article, jpeg image) and whose connections are based on request and confirmation between users? I.e. the user who owns vertex A can request a connection between vertex A and vertex B; the connection is...
  2. L

    Reducing Normal Subgroup Calcs: Finite Groups Only?

    Thanks! Your final sentence might be explaining this, but why are you using g^{-1}ng as your criterion for normality instead of gng^{-1}?
  3. L

    Reducing Normal Subgroup Calcs: Finite Groups Only?

    My abstract algebra book is talking about reducing the calculations involved in determining whether a subgroup is normal. It says: If N is a subgroup of a group G, then N is normal iff for all g in G, gN(g^-1) [the conjugate of N by g] = N. If one has a set of generators for N, it suffices...
  4. L

    How to prove that if x^n*y=y*x^n, then x and y commute

    Let x and y be elements of a group. I can see that it works the other way, i.e. if x and y commute, then y*x^n = x^n*y...
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