On a homology of ternary groups with applications to knot theory

Abstract

We define a homology for ternary groups using both associativity and skew elements. We describe the odd-even construction which yields many examples of ternary groups. We define the ternary knot group, consider its homomorphisms into ternary groups, and discuss the applications.

arXiv comment14 pages

References in corpus (2)

• Homology of ternary algebras yielding invariants of knots and knotted surfaces
• Ternary quasigroups in knot theory