5 papers
Rational growth in torus bundle groups of odd trace
Seongjun Choi, Meng-Che "Turbo" Ho, Mark Pengitore
A group is said to hae a rational growth with respect to the generating set if the growth series is a rational polynomial. It was shown by Parry that a subset of torus bundle group…
A coarse embedding theorem for homological filling functions
Robert Kropholler, Mark Pengitore
We demonstrate under appropriate finiteness conditions that a coarse embedding induces an inequality of homological Dehn functions. Applications of the main results include a chara…
Coarse models of homogeneous spaces and translations-like actions
D. B. McReynolds, Mark Pengitore
For finitely generated groups and equipped with word metrics, a translation-like action of on is a free action where each element of moves elements of a bou…
Residual finiteness and strict distortion of cyclic subgroups of solvable groups
Mark Pengitore
We provide polynomial lower bounds for residual finiteness of residually finite, finitely generated solvable groups that admit infinite order elements in the Fitting subgroup of st…
Residual dimension of nilpotent groups
Mark Pengitore
The functions measures the asymptotic behavior of residual finiteness for a finitely generated group . In previous work \cite{Pengitore_1}, the author claimed a chara…