4 papers · 1 filter
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…
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 equivalent to a tower of exponentials of 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…