blitzer6266 wrote:Consider the infinite binary sequences. In other words, an element of G is something like (0, 0, 1, 0, 1,1, ...)
The group addition would be adding component wise. In this case, the 0 sequence would be the identity, and every element has order 2.
You can also think of this as (Z/2Z)^N
where Z is the integers and N is the naturals