Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Kazachkov, Ilya"'
In this note, we characterise when the kernel of a rational character of a right-anlged Artin group, also known as generalised Bestiva-Brady group, is finitely generated and finitely presented. In these cases, we exhibit a finite generating set and a
Externí odkaz:
http://arxiv.org/abs/2409.06315
In this paper we study the elementary theory of graph products of groups and show that under natural conditions on the vertex groups we can recover (the core of) the underlying graph and the associated vertex groups. More precisely, we require the ve
Externí odkaz:
http://arxiv.org/abs/2106.03782
A new class of groups $\mathcal{C}$, containing all coherent RAAGs and all toral relatively hyperbolic groups, is defined. It is shown that, for a group $G$ in the class $\mathcal{C}$, the $\mathbb{Z}[t]$-exponential group $G^{\mathbb{Z}[t]}$ may be
Externí odkaz:
http://arxiv.org/abs/2009.01899
In this paper we show that there exists an uncountable family of finitely generated simple groups with the same positive theory as any non-abelian free group. In particular, these simple groups have infinite $w$-verbal width for all non-trivial words
Externí odkaz:
http://arxiv.org/abs/1911.02117
In this paper we classify Baumslag-Solitar groups up to commensurability. In order to prove our main result we give a solution to the isomorphism problem for a subclass of Generalised Baumslag-Solitar groups.
Comment: 21 page
Comment: 21 page
Externí odkaz:
http://arxiv.org/abs/1910.02117
Autor:
Corson, Samuel M., Kazachkov, Ilya
Publikováno v:
Monatshefte fur Mathematik 191 (2020), 37-52
A group $G$ is called automatically continuous if any homomorphism from a completely metrizable or locally compact Hausdorff group to $G$ has open kernel. In this paper, we study preservation of automatic continuity under group-theoretic construction
Externí odkaz:
http://arxiv.org/abs/1901.09279
In this paper we continue the study of right-angled Artin groups up to commensurability initiated in [CKZ]. We show that RAAGs defined by different paths of length greater than 3 are not commensurable. We also characterise which RAAGs defined by path
Externí odkaz:
http://arxiv.org/abs/1803.00971
Publikováno v:
published in Journal of Group Theory 19(3), 2016
In this note we introduce pro-Hall $R$-groups as inverse limits of Hall $R$-groups and show that for the binomial closure $S^{bin}$ of any ring $S$ discriminated by $\mathbb{Z}_p$, the free pro-Hall $S^{bin}$-group $\mathbb{F}(A,S^{bin})$ is fully re
Externí odkaz:
http://arxiv.org/abs/1803.00478
In this paper we study the classification of right-angled Artin groups up to commensurability. We characterise the commensurability classes of RAAGs defined by trees of diameter 4. In particular, we prove a conjecture of Behrstock and Neumann that th
Externí odkaz:
http://arxiv.org/abs/1611.01741