Recent content by J0EBL0W

  1. J

    Cauchy's Theorem Problem (Abstract Algebra question)

    I have no problem showing the orders of G and G/P, but I don't understand why an automorphism automatically preserve the order of elements.
  2. J

    Convergence of Infinite Series

    Try using the Ratio Test. That's what I first try to do anytime I see n!
  3. J

    Cauchy's Theorem Problem (Abstract Algebra question)

    Cauchy's Theorem Problem (Abstract Algebra question) Homework Statement I've been thinking about this problem for a couple days now, and I don't even know how to approach it. The problem is: Let G be a group of order (p^n)*m, where p is a prime and p does not divide m. Suppose that G has a...
  4. J

    Probability combination Question

    Homework Statement We want to put 4 Maroon, 3 Green, and 2 Yellow plates in a row on a table. They are arranged randomly. What is the probability that the 4 Maroon plates are together? Homework Equations The Attempt at a Solution I couldn't figure out how to set this problem up properly...
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