3 papers
math.GT2025
Symmetry groups of flat fully augmented links and their complements
Christian Millichap, Rolland Trapp
In this paper, we prove that the (orientation-preserving) symmetry groups of -prime flat fully augmented links correspond exactly with the finite subgroups of . We accompl…
math.GT2025
Symmetry groups of hyperbolic links and their complements
Christian Millichap, Rolland Trapp
We explicitly construct a sequence of hyperbolic links where the number of symmetries of each that are not induced by symmetries of…
math.GT2024
Flat fully augmented links are determined by their complements
Christian Millichap, Rolland Trapp
In this paper, we show that two flat fully augmented links with homeomorphic complements must be equivalent as links in . This requires a careful analysis of how to…