4 citations · 10 across the 18 of their papers we have counts for
20 papers
On Wiegold's conjecture for the small Ree groups
Sira Busch, Mark Pengitore, Jeroen Schillewaert +1
The Wiegold conjecture holds for the small Ree groups for -tuples where .
Linearity criteria for automorphism groups of malabelian groups
Thomas Koberda, Mark Pengitore
Let be a finitely generated malabelian group, let be a finitely generated subgroup, and let denote the preimage of in . We…
"The Edmonton Notes on Nilpotent Groups" by Philip Hall
Mark Pengitore
This note is a reproduction of the well known and historically significant series of notes called "The Edmonton Notes on Nilpotent Groups" based on lectures given by Philip Hall us…
Automorphism groups of solvable groups of finite abelian ranks
Jonas Deré, Mark Pengitore
This paper gives a new explicit construction of the -algebraic hull for virtually solvable groups of finite abelian ranks, taking into account the spectrum of t…
Rational cohomology and Zariski dense subgroups of solvable linear algebraic groups
Milana Golich, Antonio López Neumann, Mark Pengitore
In this article, we establish results concerning the cohomology of Zariski dense subgroups of solvable linear algebraic groups. We show that for an irreducible solvable $\mathbb{Q}…
-Hereditarily conjugacy separable groups and wreath products
Alex Bishop, Alexander Bishop, Michal Ferov +1
We provide a necessary and sufficient condition for the restricted wreath product to be -hereditarily conjugacy separable where is an extension-…
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…
Bounding conjugacy depth functions for wreath products of finitely generated abelian groups
Michal Ferov, Mark Pengitore
In this article, we study the asymptotic behaviour of conjugacy separability for wreath products of abelian groups. We fully characterise the asymptotic class in the case of lampli…
Conjugacy depth function for generalised lamplighter groups
Michal Ferov, Mark Pengitore
In this article, we completely characterize the asymptotic behavior of conjugacy separability for the lamplighter groups. More generally, we give exponential upper and lower bounds…
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…
Geometry of non-transitive graphs
Josiah Oh, Mark Pengitore
In this note, we study non-transitive graphs and prove a number of results when they satisfy a coarse version of transitivity. Also, for each finitely generated group , we produ…
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…
Quantifying conjugacy separability in wreath products of groups
Michal Ferov, Mark Pengitore
We study generalisations of conjugacy separability in restricted wreath products of groups. We provide an effective upper bound for -conjugacy separability of a wreath…
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…
Effective Subgroup Separability of Finitely Generated Nilpotent Groups
Jonas Deré, Mark Pengitore
This paper studies effective separability for subgroups of finitely generated nilpotent groups and more broadly effective subgroup separability of finitely generated nilpotent grou…
Effective Twisted Conjugacy Separability of Nilpotent Groups
Jonas Deré, Mark Pengitore
This paper initiates the study of effective twisted conjugacy separability for finitely generated groups, which measures the complexity of separating distinct twisted conjugacy cla…
Translation-like actions of nilpotent groups
David Bruce Cohen, Mark Pengitore
We give a new obstruction to translation-like actions on nilpotent groups. Suppose we are given two finitely generated torsion free nilpotent groups with the same degree of polynom…
Effective Separability of Finitely Generated Nilpotent Groups
Mark Pengitore
We give effective proofs of residual finiteness and conjugacy separability for finitely generated nilpotent groups. In particular, we give precise asymptotic bounds for a function…