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!

Writing Computations Clearly In Proofs

  1. Jun 23, 2012 #1
    Here's a quick question concerning writing clearly in proofs. I am revising and refining some of my proofs [this is for a self-study], and I across a problem where I had to prove that f: G->G defined by f(x)=axa-1 is a automorphism. To show it has the homomorphism property, I had to do some calculations. Which of the following would be more accepted?

    METHOD 1

    Evaulating f(xy), we get,

    (1) f(xy)=axya-1
    (2) =axeya-1 [property of e]
    (3) =axa-1aya-1 [property of inverses]
    (4) =f(x)f(y).
    Hence, f(xy)=f(x)f(y).

    METHOD 2

    We have that f(xy)=axya-1. Then f(x)f(y)=axa-1aya-1=axya-1. Hence, f(xy)=f(x)f(y).

    Thanks!!! :)
     
  2. jcsd
  3. Jun 23, 2012 #2

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    I like (2) better in this case.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Writing Computations Clearly In Proofs
Loading...