Recent content by ZTV

So what are the elements of Aut(Z3) then? Functions f that map Z3->Z3 such that fZ3 = Z3 ? If this is the case... I now have aut(Z3) = {fa fb} and Z2 = {[0][1]} I'm trying to show that they are homomorpic/operation preserving. I have to define a function y that maps y...

Is for every A and B the same as any A and B?

I really don't get this group theory stuff at all. These should be simple questions, but alas not... Homework Statement Assume that * is an associative operation on S and that a is an element of S. Let C(a) = {x: x is an element of S and a*x = x*a} Prove that C(a) is closed with...

Thanks... for the second one I'd considered looking at inclusions but couldn't work out how to implement it. Don't understand what you mean about choosing convenient sets though, can you explain?

Homework Statement Prove that f: S -> T is one-to-one if and only if f(AnB) = f(A) n f(B) for every pair of subsets A and B of S Homework Equations See above The Attempt at a Solution Part 1: Starting with the assumption f(AnB) = f(A) n f(B) Let f(a) = f(b) [I'm going to...