# Groups Lecture 17

in which we explore conjugacy classes in $S_n$ and $A_n$, and prove that $A_5$ is simple.

# Groups Lecture 16

in which we learn about the symmetry groups of polyhedra, and start exploring conjugacy classes in the symmetric groups $S_n$.

# Groups Lecture 7

in which we prove that disjoint cycle notation works and  get a first glimpse of the sign of a permutation.

# Groups Lecture 6

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

# Groups Lecture 21

in which we meet the Möbius group as transformations of the Riemann Sphere.

# Groups Lecture 17

in which we explore conjugacy classes in $S_n$ and $A_n$, and prove that $A_5$ is simple.

# Groups Lecture 16

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

# Groups Lecture 7

in which we prove that disjoint cycle notation works and  get a first glimpse of the sign of a permutation.

# Groups Lecture 6

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