10 Modular arithmetic and Lagrange

We finish this course by linking several threads together. We will explore the important Lagrange’s theorem of group theory (which actually was first formulated long before group theory was developed). We will then see how this theorem has applications to the study of the integers (which was one of our earlier threads). First though, we need to take a step back and explore the concept of partitioning a set, and saying when objects are “basically the same”.