1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Abstract Algebra.

  1. Feb 17, 2010 #1
    I have 2 algebra questions which are stumping me, I just can't seem to use my notes to figure them out!

    1. Let α, β ∈ S17 where α = (17 2)(1 2 15 17 ), β = (2 3 16)(6 16 17 ).
    Determine η, as a product of disjoint cycles, where αη = β.

    2. Let G be a group in which a^2 = 1 for all a ∈ G. Prove that G is Abelian.
    Hint: Consider (ab)^2.

    HELP PLEASE :(
     
  2. jcsd
  3. Feb 17, 2010 #2

    Mark44

    Staff: Mentor

    For 2, consider what (ab)2 equals.
     
  4. Feb 17, 2010 #3
    Right, I've figured out 2, thanks Mark44 and I've done some of 1, but I'm stuck at the end of the question.

    I have η= (2 17)(17 15 2 1)(2 3 16)(6 16 17), but I'm not sure if that's right though. I also don't know where to go from there.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook