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(adsbygoogle = window.adsbygoogle || []).push({}); f: G->Gdefined byf(x)=axais a automorphism. To show it has the homomorphism property, I had to do some calculations. Which of the following would be more accepted?^{-1}

METHOD 1

Evaulatingf(xy), we get,

(1)f(xy)=axya^{-1}

(2)=axeya[property of e]^{-1}

(3)=axa[property of inverses]^{-1}aya^{-1}

(4)=f(x)f(y).

Hence,f(xy)=f(x)f(y).

METHOD 2

We have thatf(xy)=axya. Then^{-1}f(x)f(y)=axa. Hence,^{-1}aya^{-1}=axya^{-1}f(xy)=f(x)f(y).

Thanks!!! :)

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Writing Computations Clearly In Proofs

Loading...

Similar Threads - Writing Computations Clearly | Date |
---|---|

B Tips on writing a formula in rigorous way | Sep 2, 2017 |

B Does anybody write any operations differently? | Aug 18, 2017 |

B Publishing: LibreOffice or Latex? | Jul 4, 2017 |

I How to write a Vector Field in Cylindrical Co-ordinates? | Oct 31, 2016 |

How long for a computer to write out a Googolplex | May 9, 2013 |

**Physics Forums - The Fusion of Science and Community**