Recent content by ldelong

  1. L

    Reals under multiplication homomorphisms

    Thanks Matt, I was unsure as to what R^x was and how it worked.
  2. L

    Is Group G Abelian if f(a)=a^-1 is a Homomorphism?

    I got it thanks
  3. L

    Reals under multiplication homomorphisms

    Homework Statement A function f:R-->R^x is a homomorphism iff f(x+y) = f(x) + f(y) for all x,y in R Homework Equations I don't know what group R^x is. I can only assume it means Reals under multiplication . Would that mean that f(x+y) = f(x)f(y)? How does the function work? Since 5...
  4. L

    Is Group G Abelian if f(a)=a^-1 is a Homomorphism?

    Homework Statement Prove that Group G is abelian iff the function f:G to G given by f(a)=a^-1 is a homomorphism Homework Equations The Attempt at a Solution Group G must be communitative for it to be abelian I have no idea where to start to begin to prove this I know that...
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