C. Gillis

activity

20202026

collaborators

7 papers

math.GR2026

Conjugator Length in Iterated Cyclic Amalgams of Free Groups

Conan Gillis

Let $A_{0}$ be the set of finitely generated free groups on some countable alphabet and and define $A_{r}$ inductively as the union of $A_{r - 1}$ with the…

math.GR2026

Conjugator Lengths and Isoperimetric functions

Conan Gillis, Francis Wagner

We show that for any recognizing $S$ -machine $S$ with superadditive time function $f$ , 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 $f$ so that $f (n)$ is the minimal upper bound on the length of a word realizing the conjugacy of two wo…

math.GR2025

Conjugator Length in the Baumslag-Gersten Group

Conan Gillis

We show that the conjugator length function of the Baumslag-Gersten group is equivalent to a tower of exponentials of height $⌊ lo g_{2} n ⌋$ -- in particular it grows fast…

math.GR2025

Distinguishing Filling Invariants Associated to Conjugacy in Groups

Conan Gillis, Timothy Riley

Brick and Corson introduced annular Dehn functions in 1998 to quantify the conjugacy problem for finitely generated groups and gave the fundamental relationships between it, the De…

math.GR2024

Conjugacy in Miller's Groups

Conan Gillis

In 1971 C.F.\ Miller associated to every finitely presented group $G$ a free-by-free group $M (G)$ known as the Miller Machine, whose conjugacy problem is closely related to the con…

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.