I got a bit confused after thm 7.13 when they started talking about cyclic groups. One thing they said was that every cyclic group is abelian, but I don't see why that would be the case.
Reflective:
Subgroups of groups follow along with the same idea as subrings of rings. It's a subgroup/subring if it is itself a group/ring under the same operations of the bigger group/ring. I also thought it was interesting that we only needed to check 2 of the 4 axioms because the identity comes naturally from those 2, and the associativity will be there.
No comments:
Post a Comment