The Sylow Theorems are fundamental results in group theory, a branch of abstract algebra. They provide information about the existence and number of subgroups of a given finite group that have orders that are powers of prime numbers. Specifically, they help identify the structure of groups by analyzing their p-subgroups, which are subgroups whose order is a power of a prime p. There are three main theorems. The first states that for any prime divisor of the group's order, there exists at least one subgroup of that order. The second theorem gives conditions on the number of such subgroups, while the third describes their conjugacy, meaning all subgroups of the same order are related by group operations.