Mark Rosinski, markrosi@purdue.edu Joseph Lam, lam5@purdue.edu Beichen Xiao, xiaob@purdue.edu
Outline:
Origin -Creator -History of the Sylow Theorems/ p-groups P-Groups -Definition -Regular p-groups
-Relationship to Abelian Groups
-Application -Frattini Subgroup
-Special p groups
-Pro p-groups
-Powerful p-groups
Sylow Theorems -Application
-Theorem 1
-Theorem 2 -Theorem 3
-Importance of Lagrange Theory
P-groups:
Definition: Let p be a prime p $ \in $ $ \mathbb{Z} $.
