Zobrazeno 1 - 10
of 294
pro vyhledávání: '"P. A. Zalesskii"'
Autor:
Lopes, Lucas C., Zalesskii, Pavel A.
We give a description of finitely generated prosoluble subgroups of the profinite completion of $3$-manifold groups and virtually compact special groups.
Externí odkaz:
http://arxiv.org/abs/2408.04152
Autor:
Boggi, Marco, Zalesskii, Pavel
Let $G$ be a residually finite, good group of finite virtual cohomological dimension. We prove that the natural monomorphism $G\hookrightarrow\hat{G}$ induces a bijective correspondence between conjugacy classes of finite $p$-subgroups of $G$ and tho
Externí odkaz:
http://arxiv.org/abs/2406.08639
Let $\mathcal{C}$ be a class of finite groups closed under taking subgroups, quotients, and extensions with abelian kernel. The right-angled Artin pro-$\mathcal{C}$ group $G_\Gamma$ (pro-$\mathcal{C}$ RAAG for short) is the pro-$\mathcal{C}$ completi
Externí odkaz:
http://arxiv.org/abs/2311.13439
Autor:
Berdugo, Jesus, Zalesskii, Pavel
In this paper we prove a pro-p version of the Rips-Sela's Theorems on splittings of a group as an amalgamated free product or HNN-extension over an infinite cyclic subgroup.
Externí odkaz:
http://arxiv.org/abs/2307.08787
A finitely generated residually finite group $G$ is an $\widehat{OE}$-group if any action of its profinite completion $\widehat G$ on a profinite tree with finite edge stabilizers admits a global fixed point. In this paper, we study the profinite gen
Externí odkaz:
http://arxiv.org/abs/2305.16054
Let $\mathcal{C}$ be a class of finite groups closed for subgroups, quotients groups and extensions. Let $\Gamma$ be a finite simplicial graph and $G = G_{\Gamma}$ be the corresponding pro-$\mathcal C$ RAAG. We show that if $N$ is a non-trivial finit
Externí odkaz:
http://arxiv.org/abs/2305.03683
We establish that standard arithmetic subgroups of a special orthogonal group ${\rm SO}(1,n)$ are conjugacy separable. As an application we deduce this property for unit groups of certain integer group rings. We also prove that finite quotients of gr
Externí odkaz:
http://arxiv.org/abs/2302.09375
We introduce a class $\A$ of finitely generated residually finite accessible groups with some natural restriction on one-ended vertex groups in their JSJ-decompositions. We prove that the profinite completion of groups in $\A$ almost detects its JSJ-
Externí odkaz:
http://arxiv.org/abs/2208.12985
Autor:
Haran, Dan, Zalesskii, Pavel A.
It is known that the Kurosh Subgroup Theorem does not hold for pro-$p$ groups of big cardinality. However, a subgroup $G$ of a free pro-$p$ product is projective relative to the Kurosh family of subgroups. In this paper we prove the converse of this
Externí odkaz:
http://arxiv.org/abs/2208.12982
Autor:
Castellano, Ilaria, Zalesskii, Pavel
We prove a pro-$p$ version of Sela's theorem stating that a finitely generated group is $k$-acylindrically accessible. This result is then used to prove that $\mathrm{PD}^n$ pro-$p$ groups admit a unique $k$-acylindrical JSJ-decomposition.
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Externí odkaz:
http://arxiv.org/abs/2206.01569