Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Pengitore, Mark"'
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 a certain separability property, and this question is related to algo
Externí odkaz:
http://arxiv.org/abs/2201.13327
Autor:
Ferov, Michal, Pengitore, Mark
Publikováno v:
journal of Groups, complexity, cryptology, Volume 15, Issue 1 (September 28, 2023) gcc:11728
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 lamplighter groups and give exponential upper and lower bounds for generalis
Externí odkaz:
http://arxiv.org/abs/2201.06165
Autor:
Ferov, Michal, Pengitore, Mark
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 for all wreath products of finitely generated abelian groups where th
Externí odkaz:
http://arxiv.org/abs/2111.14722
Autor:
Choi, Seongjun, Ho, Meng-Che "Turbo", Pengitore, Mark
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 groups exhibits rational growth. We generalize this result to other torus b
Externí odkaz:
http://arxiv.org/abs/2012.07995
Autor:
Kropholler, Robert, Pengitore, Mark
We demonstrate under appropriate finiteness conditions that a coarse embedding induces an inequality of homological Dehn functions. Applications of the main results include a characterization of what finitely presentable groups may admit a coarse emb
Externí odkaz:
http://arxiv.org/abs/2008.11090
Autor:
Oh, Josiah, Pengitore, Mark
Publikováno v:
Pacific J. Math. 317 (2022) 423-440
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 $G$, we produce continuum many pairwise non-quasi-isometric regular graphs that hav
Externí odkaz:
http://arxiv.org/abs/2008.08638
Autor:
McReynolds, D. B., Pengitore, Mark
For finitely generated groups $G$ and $H$ equipped with word metrics, a translation-like action of $H$ on $G$ is a free action where each element of $H$ moves elements of $G$ a bounded distance. Translation-like actions provide a geometric generaliza
Externí odkaz:
http://arxiv.org/abs/1911.12175
Autor:
Ferov, Michal, Pengitore, Mark
We study generalisations of conjugacy separability in restricted wreath products of groups. We provide an effective upper bound for $\mathcal{C}$-conjugacy separability of a wreath product $A \wr B$ in terms of the $\mathcal{C}$-conjugacy separabilit
Externí odkaz:
http://arxiv.org/abs/1910.02174
Autor:
Pengitore, Mark
Publikováno v:
J. Algebra. 546 (2020), 679-688
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 strict distortion at least exponential. For this class of solvable group
Externí odkaz:
http://arxiv.org/abs/1903.08123
Autor:
Pengitore, Mark
The functions $F_{G}(n)$ measures the asymptotic behavior of residual finiteness for a finitely generated group $G$. In previous work \cite{Pengitore_1}, the author claimed a characterization for $F_{N}(n)$ when $N$ is a finitely generated nilpotent
Externí odkaz:
http://arxiv.org/abs/1809.07934