[SOLVED] group of functions 1. The problem statement, all variables and given/known data Let F be the additive group of all functions mapping R into R. Let K be the subgroup of F consisting of the constant functions. Find a subgroup of F to which F/K is isomorphic. 2. Relevant equations 3. The attempt at a solution I have absolutely no idea how to do this. Am I supposed to use the fundamental homomorphism theorem? Is it the set of all functions such that f(0)=0? How in the world would you prove that?