Group Theory

Whats it good for?

Physics and chemistry and other things. Have fun with Lie groups and other continuous groups.

some combinatorics problems (i.e. how many ways can you paint a cube if you consider rotations to fall under the same equivalence class)

Fucking everything.

oh yeah, can it make me a sandwich?  didn't think so.

>>5 gb2 group action
{leave it as it is,put bread, take off bread,put ham, take off ham, put egg, take off egg,...}

>>6
composition doesn't make an operator-- how do I take off ham from {bread}? NO SANDWICHES IN GROUP THEORY

>>7 omg u rite sry i phailed
NO SANDWICH 4ME :((

>>6
how about this?
the set is
{nothing,bread,ham,egg,...}x
{nothing,bread,ham,egg,...}x
{nothing,bread,ham,egg,...}x...
whence the group action take off ham acts in bread =
(bread,nothing,nothing,...) as the identity operator? i.e
(bread,nothing,nothing,...)->(bread,nothing,nothing,...)
as I recall this just leaves the action not free, plz correct if
i'm wrong, ty

I don't think we should tell OP that banks offer loan rates 75 basis points below prime to anyone who can prove the Zassenhaus lemma.