Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Jankiewicz, Kasia"'
Autor:
Jankiewicz, Kasia, Montee, MurphyKate
We prove that the Center Conjecture passes to the Artin groups whose defining graphs are cones, if the conjecture holds for the Artin group defined on the set of the cone points. In particular, it holds for every Artin group whose defining graph has
Externí odkaz:
http://arxiv.org/abs/2406.06480
Autor:
Jankiewicz, Kasia, Schreve, Kevin
Given a graph $\Gamma$ and a number $n$, the associated $n^{th}$ graph braid group $B_n(\Gamma)$ is the fundamental group of the unordered configuration space of $n$ points on $\Gamma$. \'{S}wi\k{a}tkowski showed that for a given $\Gamma$ and $n$ lar
Externí odkaz:
http://arxiv.org/abs/2404.08863
Autor:
Brody, Nic, Jankiewicz, Kasia
A countable group is residually finite if every nontrivial element can act nontrivially on a finite set. When a group fails to be residually finite, we might want to measure how drastically it fails - it could be that only finitely many conjugacy cla
Externí odkaz:
http://arxiv.org/abs/2312.15120
Autor:
Jankiewicz, Kasia, Schreve, Kevin
We prove that for every prime $p$ algebraically clean graphs of groups are virtually residually $p$-finite and cohomologically $p$-complete. We also prove that they are cohomologically good. We apply this to certain $2$-dimensional Artin groups.
Externí odkaz:
http://arxiv.org/abs/2312.15115
Given a non-positively curved cube complex $X$, we prove that the quotient of $\pi_1X$ defined by a cubical presentation $\langle X\mid Y_1,\dots, Y_s\rangle$ satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provid
Externí odkaz:
http://arxiv.org/abs/2309.16860
Autor:
Jankiewicz, Kasia
We give criteria for a graph of groups to have finite stature with respect to its collection of vertex groups, in the sense of Huang-Wise. We apply it to the triangle Artin groups that were previously shown to split as a graph of groups. This allows
Externí odkaz:
http://arxiv.org/abs/2307.15209
Autor:
Jankiewicz, Kasia, Schreve, Kevin
Publikováno v:
In Journal of Pure and Applied Algebra January 2025 229(1)
Autor:
Jankiewicz, Kasia, Schreve, Kevin
In this note, we prove that the $K(\pi,1)$-conjecture for Artin groups implies the center conjecture for Artin groups. Specifically, every Artin group without a spherical factor that satisfies the $K(\pi,1)$-conjecture has a trivial center.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2201.06591
Autor:
Jankiewicz, Kasia, Wise, Daniel T.
We give a simplified approach to the cubulation of small-cancellation quotients of free products of cubulated groups. We construct fundamental groups of compact nonpositively curved cube complexes that do not virtually split.
Comment: 11 pages,
Comment: 11 pages,
Externí odkaz:
http://arxiv.org/abs/2111.03948
We show that every group acting freely and vertex-transitively by isometries on a product of two regular trees of finite valence is boundary rigid. That means that every CAT(0) space that admits a geometric action of any such group has the visual bou
Externí odkaz:
http://arxiv.org/abs/2109.09175