Think for yourself
in which we meet the quaternions and start exploring matrix groups.
621 more words
in which we explore conjugacy classes in and , and prove that is simple.
501 more words
in which we prove Cauchy’s theorem and revisit the symmetric groups.
664 more words
5 months, 1 week
in which we find out more about quotients, including the quotient map, and prove the Isomorphism Theorem.
757 more words
5 months, 2 weeks
in which we define normal subgroups, explore groups of order 6 and make a start on quotients.
653 more words
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
5 months, 3 weeks