C. Gillis

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20202026

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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…