Recent content by okeen

  1. O

    Proving Abelian Property of (G,°) with f(a) = a^(-1)

    I realize that my answer only takes into account for 3 members but I am having trouble coming up with a solution for all possible amounts of members
  2. O

    Proving Abelian Property of (G,°) with f(a) = a^(-1)

    Homework Statement Let (G, °) be a group such that the mapping f from G into G defined by f(a) = a^(-1) is a homomorphism. Show that (G, °) is abelian. The Attempt at a Solution f(a) = a^(-1) f(a^(-1)) = f(a)^(-1) = (a^-1)^-1 = a in order for a group to be abelian it needs to...