Recent content by X-il3

Ok here is one more try. Hope I get it right this time :smile:. Since we are working in Z_2 then a = -a where a is an element in Z_2. We know that X^2 + x + 1 = 0 = [0]. Moving numbers around now we then get the remaining 3 elements in the ring. x^2 + x = 1 = [1] x^2 + 1 = x = [x] x + 1 =...

Yes there was 1 missing there. I thought the identity element in multiplication is 1 and therefore no 0. How would you represent the elements in this ring? More like this 0 x x^2 x^2 + x ? Leaving the 1 out from all the elements? X-il3

Hi everyone. I have two questions that I hope you can help me with. First when trying to show isomorphism between groups is it enough to show that the order of each element within the group is the same in the other group? For example the groups (Z/14Z)* and (Z/9Z)*. They are both of order...