Zobrazeno 1 - 10
of 242
pro vyhledávání: '"Kochloukova, Dessislava"'
This survey describes some recent work, by the authors and others, on the existence of algebraic fibrations of group extensions, as well as the finiteness properties of their algebraic fibers, in the realm of both abstract and pro-$p$ groups. We also
Externí odkaz:
http://arxiv.org/abs/2404.01447
We prove that the Fibonacci Lie algebra and the related just infinite self-similar Lie algebra are not finitely presented.
Externí odkaz:
http://arxiv.org/abs/2402.16098
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
Autor:
Kochloukova, Dessislava H.
We prove some conditions for higher dimensional algebraic fibering of pro-$p$ group extensions and we establish corollaries about incoherence of pro-$p$ groups. In particular, if $G = K \rtimes \Gamma$ is a pro-$p$ group, $\Gamma$ a finitely generate
Externí odkaz:
http://arxiv.org/abs/2205.07418
We sharpen earlier work on the pro-$p$ completions of orientable $PD_3$-groups. There are four cases, and we give examples of aspherical 3-manifolds representing each case. In three of the four cases the new results are best possible. We also conside
Externí odkaz:
http://arxiv.org/abs/2205.06155
Publikováno v:
J. London Math. Soc. 108 (2023) 978-1003
We prove some conditions for the existence of higher dimensional algebraic fibering of group extensions. This leads to various corollaries on incoherence of groups and some geometric examples of algebraic fibers of type $F_n$ but not $FP_{n+1}$ of so
Externí odkaz:
http://arxiv.org/abs/2205.05246
The group $\mathfrak{X}(G)$ is obtained from $G\ast G$ by forcing each element $g$ in the first free factor to commute with the copy of $g$ in the second free factor. We make significant additions to the list of properties that the functor $\mathfrak
Externí odkaz:
http://arxiv.org/abs/2202.03796
Publikováno v:
In Journal of Algebra 1 April 2024 643:119-152
For a group $G$ that is a limit group over Droms RAAGs such that $G$ has trivial center, we show that $\Sigma^1(G) = \emptyset = \Sigma^1(G, \mathbb{Q})$. For a group $H$ that is a finitely presented residually Droms RAAG we calculate $\Sigma^1(H)$ a
Externí odkaz:
http://arxiv.org/abs/2106.07293
We generalize some known results for limit groups over free groups and residually free groups to limit groups over Droms RAAGs and residually Droms RAAGs, respectively. We show that limit groups over Droms RAAGs are free-by-(torsion-free nilpotent).
Externí odkaz:
http://arxiv.org/abs/2104.14849