Symmetry of three component links

The group of admissible symmetries for a given link is called the intrinsic symmetry group of L. For a link of n components this is a subgroup of the group Γ_n = Z₂ × (Zⁿ2^⋊S n). This paper examines links with three components: providing several new examples of calculations, and working to develop new tools for these calculations. In particular, we will discuss the algebraic relationship between the intrinsic symmetry groups of a link and its sublinks.