Theorem 5.6.10
Two permutations are conjugate iff they have the same cycle type.

This theorem is proved in the Algebra and Geometry course. We note the
corollary that the number of conjugacy classes in equals the number
of partitions of .

Remark 5.6.11 (Determinants of an
matrix)
In the Linear Maths course you will prove that if
is an
matrix then