*in which we explore conjugacy classes in and , and prove that is simple.
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# symmetric group

# Groups Lecture 16

*in which we learn about the symmetry groups of polyhedra, and start exploring conjugacy classes in the symmetric groups .
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# Groups Lecture 7

*in which we prove that disjoint cycle notation works and get a first glimpse of the sign of a permutation.
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# Groups Lecture 6

*in which we meet the symmetric groups and their cycle notation.
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# Groups Lecture 21

*in which we meet the Möbius group as transformations of the Riemann Sphere.
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# Groups Lecture 17

*in which we explore conjugacy classes in and , and prove that is simple.
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# Groups Lecture 16

*in which we prove Cauchy’s theorem and revisit the symmetric groups.
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# Groups Lecture 7

# Groups Lecture 6

*in which we meet the symmetric groups and their cycle notation.
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