von Dyck's Theorem
Let a Group 
have a presentation
so that
, where 
is the Free Group with basis 
and 
is theNormal Subgroup generated by the 
. If 
is a Group with 
and if
for all 
, then there is a surjective homomorphism 
with 
forall 
.See also Free Group, Normal Subgroup
References
Rotman, J. J. An Introduction to the Theory of Groups, 4th ed. New York: Springer-Verlag, p. 346, 1995.
- Euler's Criterion
- Euler's Displacement Theorem
- Euler's Distribution Theorem
- Euler's Factorization Method
- Euler's Finite Difference Transformation
- Euler's Graeco-Roman Squares Conjecture
- Euler's Homogeneous Function Theorem
- Euler's Hypergeometric Transformations
- Euler's Idoneal Number
- Euler's Machin-Like Formula
- Euler's Pentagonal Number Theorem
- Euler's Phi Function
- Euler's Polygon Division Problem
- Euler's Quadratic Residue Theorem
- Euler Square
- Euler's Rotation Theorem
- Euler's Rule
- Euler's Series Transformation
- Euler's Spiral
- Euler's Sum of Powers Conjecture
- Euler's Theorem
- Euler's Totient Rule
- Euler's Transform
- Euler's Triangle
- Euler Sum