Kronecker Decomposition Theorem
Every Finite Abelian Group can be written as a Direct Product ofCyclic Groups of Prime Power Orders. In fact, the number ofnonisomorphic Abelian Finite Groups 
of any givenOrder 
is given by writing as
where the
are distinct Prime Factors, then
where
is the Partition Function. This gives 1, 1, 1, 2, 1, 1, 1, 3, 2, ...(Sloane's A000688).See also Abelian Group, Finite Group, Order (Group), Partition Function P
References
Sloane, N. J. A. SequenceA000688/M0064in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.
- Salinon
- Salmon's Theorem
- Saltus
- Sample Proportion
- Sample Space
- Sample Variance
- Sampling
- Sampling Function
- Sampling Theorem
- Sandwich Theorem
- San Marco Fractal
- Sard's Theorem
- Sarkovskii's Theorem
- Sarrus Linkage
- Sarrus Number
- SAS Theorem
- Satellite Knot
- Satisfiability Problem
- Sausage Conjecture
- Savitzky-Golay Filter
- Savoy Knot
- Scalar
- Scalar Curvature
- Scalar Field
- Scalar Function