*in which we meet the quaternions and start exploring matrix groups.
* 621 more words

## Tags » Normal Subgroup

#### Groups Lecture 18

#### Groups Lecture 17

*in which we explore conjugacy classes in and , and prove that is simple.
* 501 more words

#### Groups Lecture 16

*in which we prove Cauchy’s theorem and revisit the symmetric groups.
* 664 more words

#### Groups Lecture 12

*in which we find out more about quotients, including the quotient map, and prove the Isomorphism Theorem.
* 757 more words

#### Groups Lecture 11

*in which we define normal subgroups, explore groups of order 6 and make a start on quotients.
* 653 more words

#### Groups Lecture 10

*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