Kervaire's Characterization Theorem

Let be a Group, then there exists a piecewise linear Knot in for with Iff satisfies

1. is finitely presentable,

2. The Abelianization of is infinite cyclic,

3. The normal closure of some single element is all of ,

4. ; the second homology of the group is trivial.

References

Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 350-351, 1976.

• Fermat Point
• Fermat Polynomial
• Fermat Prime
• Fermat Pseudoprime
• Fermat Quotient
• Fermat's Algorithm
• Fermat's Congruence
• Fermat's Conjecture
• Fermat's Factorization Method
• Fermat's Last Theorem
• Fermat's Lesser Theorem
• Fermat's Little Theorem
• Fermat's Little Theorem Converse
• Fermat Spiral Inverse Curve
• Fermat's Polygonal Number Theorem
• Fermat's Primality Test
• Fermat's Problem
• Fermat's Right Triangle Theorem
• Fermat's Sigma Problem
• Fermat's Simple Theorem
• Fermat's Spiral
• Fermat's Theorem
• Fermat's Two-Square Theorem
• Fermat Sum Theorem
• Fermi-Dirac Distribution