*in which we meet the quaternions, start exploring matrix groups and act with matrices on vectors and on matrices.
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# Groups Lecture 18

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*in which we meet the quaternions, start exploring matrix groups and act with matrices on vectors and on matrices.
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*in which we explore conjugacy classes in and , and prove that is simple.
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*in which we prove the Isomorphism Theorem and first meet group actions.
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*in which we explore groups of order 6 and make a start on quotients.
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*in which we apply group theory to prove Fermat-Euler, use Lagrange to help us find subgroups or determine what a small group must look like, and meet normal subgroups.
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*in which we meet the quaternions and start exploring matrix groups.
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*in which we explore conjugacy classes in and , and prove that is simple.
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