Simple Group

A simple group is a Group whose Normal Subgroups (Invariant Subgroups) are Order one or the whole of the original Group. Simple groupsinclude Alternating Groups, Cyclic Groups, Lie-TypeGroups (five varieties), and Sporadic Groups (26 varieties, including theMonster Group). The Classification Theorem of finite simple groups states that such groups can beclassified completely into the five types:

1. Cyclic Groups of Prime Order,

2. Alternating Groups of degree at least five

3. Lie-Type Chevalley Groups,

4. Lie-Type (Twisted Chevalley Groups or the Tits Group), and

5. Sporadic Groups.

Burnside's Conjecture states that every non-Abelian Simple Group has EvenOrder.

• Partition Function P
• Partition Function Q
• Part Metric
• Party Problem
• Parzen Apodization Function
• Pascal Distribution
• Pascal Line
• Pascal's Formula
• Pascal's Hexagrammum Mysticum
• Pascal's Limaçon
• Pascal's Rule
• Pascal's Theorem
• Pascal's Triangle
• Pascal's Wager
• Pasch's Axiom
• Pasch's Theorem
• Pass Equivalent
• Pass Move
• Patch
• Path
• Path Graph
• Path Integral
• Pathwise-Connected
• Patriarchal Cross
• Pauli Matrices