Think for yourself
in which we meet the quaternions and start exploring matrix groups.
621 more words
1 week, 2 days
in which we explore conjugacy classes in and , and prove that is simple.
501 more words
1 week, 5 days
in which we prove Cauchy’s theorem and revisit the symmetric groups.
664 more words
in which we find out more about quotients, including the quotient map, and prove the Isomorphism Theorem.
757 more words
3 weeks, 2 days
in which we define normal subgroups, explore groups of order 6 and make a start on quotients.
653 more words
3 weeks, 5 days
in which we apply group theory to prove Fermat-Euler, and use Lagrange to help us find subgroups or determine what a small group must look like. 671 more words