4 papers
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…
Conjugator Length in the Baumslag-Gersten Group
Conan Gillis
We show that the conjugator length function of the Baumslag-Gersten group is bounded above and below by a tower of exponentials of logarithmic height -- in particular it grows fast…
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…
Conjugacy in Miller's Groups
Conan Gillis
In 1971 C.F.\ Miller associated to every finitely presented group a free-by-free group known as the Miller Machine, whose conjugacy problem is closely related to the con…