Recent content by shallumstuart

never mind, i don't actually think it makes any sense to say (Z4 x Z2, +mod2)

thanks that's helpful. although i still don't quite get the meaning of the +mod2 part. When the group is defined as (Z4 x Z2, +mod2), doesn't the +mod2 tell you the binary operation by which you combine elements of the set? if that's the case, when you add componentwise how come you are adding...

I have a pretty basic question about direct sum/product of groups. Say you were given the group (Z4 x Z2, +mod2). Now I know that Z4 x Z2 is given by { (0,0), (0,1), (1,0), (1,1), (2,0), (2,1), (3,0), (3,1) }. So now if you were going to add together two of the elements using the binary...