Tags » Normal Subgroup

Groups Lecture 18

in which we meet the quaternions and start exploring matrix groups.
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Groups

Groups Lecture 17

in which we explore conjugacy classes in and , and prove that is simple.
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Groups

Groups Lecture 16

in which we prove Cauchy’s theorem and revisit the symmetric groups.
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Groups

Groups Lecture 12

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

Groups Lecture 11

in which we define normal subgroups, explore groups of order 6 and make a start on quotients.
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Groups

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

Groups