1 citations · 1 across the 3 of their papers we have counts for
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Survey on effective separability
Jonas Deré, Michal Ferov, Mark Pengitore
Separability for groups refers to the question which subsets of a group can be detected in its finite quotients. Classically, separability is studied in terms of which classes have…
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…
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…