3 papers
math.GR2026
Conjugator Lengths and Isoperimetric functions
Conan Gillis, Francis Wagner
We show that for any recognizing -machine with superadditive time function , there exists a finitely presented group whose conjugator length function is quadrati…
math.GR2026
Conjugator Length in Finitely Presented Groups
Conan Gillis, Francis Wagner
The conjugator length function of a finitely generated group is the function so that is the minimal upper bound on the length of a word realizing the conjugacy of two wo…
math.GT2020
The purely cosmetic surgery conjecture is true for the Kinoshita-Terasaka and Conway knot families
Bryan Boehnke, Conan Gillis, Hanwen Liu +1
We show that all nontrivial members of the Kinoshita-Terasaka and Conway knot families satisfy the purely cosmetic surgery conjecture.