1. Not finding help here? Sign up for a free 30min 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!

Abstract Algebra Problem (should be easy)?

  1. Sep 29, 2009 #1
    1. The problem statement, all variables and given/known data

    List all the elements of [tex]GL_N(\mathbb{Z}/2\mathbb{Z})[/tex]. Find the order of each element, and show it is not abelian.


    3. The attempt at a solution

    I am confused right from the get go about [tex]GL_n(\mathbb{Z}/2\mathbb{Z})[/tex].

    I think the [tex]L_n(\mathbb{Z}/2\mathbb{Z})[/tex] part means there are a n x n matrices whose elements are [tex]\mathbb{Z}/2\mathbb{Z}[/tex]. Is that correct to say? Also what does the group [tex]G[/tex] have to do in the problem? Any help is appreciated because I am struggling atm to even get started on this problem.
     
  2. jcsd
  3. Sep 29, 2009 #2
    I don't know much about finite fields but GLn(F) is the "General Linear" Group and is the set of invertible (i.e. non-singular) matrices with components in F.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Abstract Algebra Problem (should be easy)?
Loading...