Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Minasyan, Ashot"'
Autor:
Minasyan, Ashot, Valiunas, Motiejus
We investigate criteria ensuring that a one-relator group $G$ contains a right-angled Artin subgroup $A(\Gamma)$, corresponding to a finite graph $\Gamma$. In particular, we prove that if the positive submonoid $T(\Gamma)$, of $A(\Gamma)$, embeds int
Externí odkaz:
http://arxiv.org/abs/2404.15479
Autor:
Minasyan, Ashot
Publikováno v:
Bull. Lond. Math. Soc. 55 (2023), no. 2, pp. 1033-1040
A residually finite group $G$ has the Wilson-Zalesskii property if for all finitely generated subgroups $H,K \leqslant G$, one has $\bar{H} \cap \bar{K}=\overline{H \cap K}$, where the closures are taken in the profinite completion $\widehat G$ of $G
Externí odkaz:
http://arxiv.org/abs/2208.04058
Autor:
Minasyan, Ashot, Mineh, Lawk
A relatively hyperbolic group $G$ is said to be QCERF if all finitely generated relatively quasiconvex subgroups are closed in the profinite topology on $G$. Assume that $G$ is a QCERF relatively hyperbolic group with double coset separable (e.g., vi
Externí odkaz:
http://arxiv.org/abs/2207.03362
Autor:
Leary, Ian J., Minasyan, Ashot
Publikováno v:
J. Group Theory 26 (2023), no. 4, pp. 741--750
Answering Questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented.
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Externí odkaz:
http://arxiv.org/abs/2112.14546
Autor:
Minasyan, Ashot
Publikováno v:
Israel J. Math. 245 (2021), no. 1, pp. 231-257
A group $G$ is invariably generated (IG) if there is a subset $S \subseteq G$ such that for every subset $S' \subseteq G$, obtained from $S$ by replacing each element with a conjugate, $S'$ generates $G$. $G$ is finitely invariably generated (FIG) if
Externí odkaz:
http://arxiv.org/abs/2006.02727
Publikováno v:
J. Topology 14 (2021), no. 2, pp. 488-503
We use basic tools of descriptive set theory to prove that a closed set $\mathcal S$ of marked groups has $2^{\aleph_0}$ quasi-isometry classes provided every non-empty open subset of $\mathcal S$ contains at least two non-quasi-isometric groups. It
Externí odkaz:
http://arxiv.org/abs/1911.01137
Autor:
Leary, Ian J., Minasyan, Ashot
Publikováno v:
Geom. Topol. 25 (2021) 1819-1860
We show that the commensurator of any quasiconvex abelian subgroup in a biautomatic group is small, in the sense that it has finite image in the abstract commensurator of the subgroup. Using this criterion we exhibit groups that are CAT(0) but not bi
Externí odkaz:
http://arxiv.org/abs/1907.03515
Autor:
Minasyan, Ashot
If $G$ is a group, a virtual retract of $G$ is a subgroup which is a retract of a finite index subgroup. Most of the paper focuses on two group properties: property (LR), that all finitely generated subgroups are virtual retracts, and property (VRC),
Externí odkaz:
http://arxiv.org/abs/1810.02654
Autor:
Kelly, Kevin R *, Ailawadhi, Sikander, Siegel, David S, Heffner, Leonard T, Somlo, George, Jagannath, Sundar, Zimmerman, Todd M, Munshi, Nikhil C, Madan, Sumit, Chanan-Khan, Asher, Lonial, Sagar, Chandwani, Suraj, Minasyan, Ashot, Ruehle, Markus, Barmaki-Rad, Farima, Abdolzade-Bavil, Afsaneh, Rharbaoui, Faiza, Herrmann-Keiner, Eva, Haeder, Thomas, Wartenberg-Demand, Andrea, Anderson, Kenneth C
Publikováno v:
In The Lancet Haematology November 2021 8(11):e794-e807
Autor:
Minasyan, Ashot
Publikováno v:
Proc. Lond. Math. Soc. (3) 115 (2017), no 66, pp. 1170-1206
In this paper we study conjugacy separability of subdirect products of two free (or hyperbolic) groups. We establish necessary and sufficient criteria and apply them to fibre products to produce a finitely presented group $G_1$ in which all finite in
Externí odkaz:
http://arxiv.org/abs/1608.03482