Zobrazeno 1 - 10
of 400
pro vyhledávání: '"Zalesskii, P. A."'
Autor:
Marion, Claude, Zalesskii, Pavel
A group is said to have the Magnus Property (MP) if whenever two elements have the same normal closure then they are conjugate or inverse-conjugate. We show that a profinite MP group $G$ is prosolvable and any quotient of it is again MP. As corollari
Externí odkaz:
http://arxiv.org/abs/2412.08470
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
Autor:
Zalesskii, Pavel
Publikováno v:
Forum of Mathematics, Sigma 12 (2024) e99
We describe free prosoluble subgroups of a free product of profinite groups by strengthening the theorem of Frorian Pop and answering two questions of K. Ersoy and W. Herfort. Relatively projective prosoluble groups are also described.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/2312.09315
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
Autor:
Zalesskii, Pavel
We give a homological characterisation of relatively prosolvable projective groups.
Externí odkaz:
http://arxiv.org/abs/2209.14648