7.3

1. The most difficult part of the section was the proof that a cyclic subgroup is the smallest subgroup containing elements of a given set. I take it since there is notation for such a group, it will come up more.

2. I think that a bunch of groups exist in Pascal's triangle with numbers in the proximity of one another. I think all elements a in Z sub n where (a,n)=1 form a group under multiplication. I think the set of all physical manipulations can be broken down to primitives which form a group.