I don't understand why we would factor permutations down. Why would we care to write the identity permutation as (12)(12)? Why is every transposition it's own inverse? Does that mean every element has order 2?
Reflective:
I think it's cool that we are cutting down on the notation for symmetric groups, I'm just worried that I will get confused when I try to follow the composition through.
No comments:
Post a Comment