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: Absract Algebra Problem

  1. Oct 8, 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
    Ok so I know that [tex]\mathbb{Z}/2\mathbb{Z}[/tex] has two elements because [tex]\mathbb{Z}/2\mathbb{Z} = \{ \bar{0}, \bar{1}\}[/tex]. How does the General Linear Group effect the elements of [tex]\mathbb{Z}/2\mathbb{Z}[/tex]? The Genereal Linear Group is defined as: Let F be a field. Then the general linear group [tex]GL_n(F)[/tex] is the group of invertible n x n matrices with entries in F under matrix multiplication.
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted