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A FRIENDLY INTRODUCTION TO GROUP THEORY

A FRIENDLY INTRODUCTION TO GROUP THEORYJAKE cares?You do, prefrosh. If you re a math major, then you probably want to pass Math you re a chemistry major, then you probably want to take that one chem class Iheard involves representation THEORY . If you re a physics major, then at some pointyou might want to know what the Standard Model is. And I ll bet at least a fewof you CS majors care at least a little bit about cryptography. Anyway, Wikipediathinks it s useful to know some basic GROUP THEORY , and I think I agree. It s also funand I promise it isn t very is a GROUP ?I m about to tell you what a GROUP is, so brace yourself for disappointment.

A FRIENDLY INTRODUCTION TO GROUP THEORY 5 having exactly 20 elements of order 3, and having exactly 100 automorphisms are all isomorphism properties. 2.4: Show that the set of permutations on the set f1;2;:::;ngform a group with function composition as the group operation. This group is called the symmetric group on nletters, and is denoted by ...

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