Results 1 to 2 of 2

Math Help - Zp question

  1. #1
    Junior Member
    Joined
    Apr 2010
    Posts
    51

    Zp question

    Let p be prime. Determine the number of homomorphisms from Zp+Zp into Zp. Would I use the fact that homomorphisms are operaton preserving for this?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Apr 2010
    Posts
    78
    Assuming \mathbb{Z}_p=\mathbb{Z}/p\mathbb{Z} here. Since \mathbb{Z}_p\oplus\mathbb{Z}_p is generated by (1,0),(0,1), any homomorphic image of them uniquely determines a homomorphism.
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum