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| − | Mark Rosinski, markrosi@purdue.edu | + | Mark Rosinski, markrosi@purdue.edu Joseph Lam, lam5@purdue.edu Beichen Xiao, xiaob@purdue.edu |
| − | Joseph Lam, lam5@purdue.edu | + | |
| − | Beichen Xiao, xiaob@purdue.edu | + | |
| − | Outline: | + | Outline: |
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| + | Origin -Creator -History of the Sylow Theorems/ p-groups P-Groups -Definition -Regular p-groups | ||
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-Relationship to Abelian Groups | -Relationship to Abelian Groups | ||
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| + | -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 <math>\in</math> <math>\mathbb{Z}</math>. | ||
| − | + | [[Category:MA453Fall2013Walther]] | |
Revision as of 14:38, 29 November 2013
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} $.
