Symmetric and Alternating Groups

Introduction

In this lesson, we'll delve into Symmetric and Alternating Groups, examining their theorems and practical applications. We'll commence by understanding permutations and working through practice questions. Moving on, we'll establish a systematic method for determining permutation cycle counts and lengths. Transitioning to alternate groups, we'll explore disjoint cycles and discern even from odd permutations. Questions will assess our grasp of these concepts. Let's commence this illuminating exploration of Symmetric and Alternating Groups.