\chapter{Cosets and Lagrange's Theorem} \subimport{./}{properties-of-cosets.tex} \subimport{./}{lagranges-theorem-and-consequences.tex} \subimport{./}{an-application-of-cosets-to-permutation-groups.tex} \subimport{./}{the-rotation-group-of-a-cube-and-a-soccer-ball.tex}