Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Thomas Koberda"'
Publikováno v:
Linear Algebra and its Applications. 631:94-110
Let Γ be a finite graph and let A ( Γ ) be the corresponding right-angled Artin group. We characterize the Hamiltonicity of Γ via the structure of the cohomology algebra of A ( Γ ) . In doing so, we define and develop a new canonical graph associ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41355c232072f9fb5e586ebe247221ca
https://doi.org/10.1016/j.laa.2021.08.019
https://doi.org/10.1016/j.laa.2021.08.019
Autor:
Thomas Koberda, Sang-hyun Kim
Publikováno v:
Michigan Mathematical Journal. 71
Let $q\in\mathbb{C}$, let \[a=\begin{pmatrix} 1&0\\1&1\end{pmatrix},\quad b_q=\begin{pmatrix} 1&q\\0&1\end{pmatrix},\] and let $G_q27$, we prove that the lower density of denominators $r\in \mathbb{N}$ for which $G_{s/r}$ is non-free has a lower boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cc40ad88029c083783d31f7976ff837
https://doi.org/10.1307/mmj/20205868
https://doi.org/10.1307/mmj/20205868
Autor:
Mahan Mj, Thomas Koberda
Publikováno v:
Journal of Topology. 14:861-876
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ee76560669057cf05013c89790b122a
https://doi.org/10.1112/topo.12200
https://doi.org/10.1112/topo.12200
Publikováno v:
Mathematische Zeitschrift. 299:2103-2130
Let $\Delta$ be a hyperbolic triangle with a fixed area $\varphi$. We prove that for all but countably many $\varphi$, generic choices of $\Delta$ have the property that the group generated by the $\pi$--rotations about the midpoints of the sides of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfd09e20a43ca8d61e80bdaec0efa4b0
https://doi.org/10.1007/s00209-021-02745-3
https://doi.org/10.1007/s00209-021-02745-3
Publikováno v:
Proceedings of the American Mathematical Society. 149:2249-2255
We characterize k k –colorability of a simplicial graph via the intrinsic algebraic structure of the associated right-angled Artin group. As a consequence, we show that a certain problem about the existence of homomorphisms from right-angled Artin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::695c83b52d1c6d3b6dbff3ccbb294d85
https://doi.org/10.1090/proc/15391
https://doi.org/10.1090/proc/15391
Autor:
Thomas Koberda
Publikováno v:
In the Tradition of Thurston II ISBN: 9783030975593
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f26d32a15951def338e1aef9f7bfceb
https://doi.org/10.1007/978-3-030-97560-9_15
https://doi.org/10.1007/978-3-030-97560-9_15
Publikováno v:
Linear Algebra and its Applications. 581:304-323
We establish an effective version of the classical Lie–Kolchin Theorem. Namely, let A , B ∈ GL m ( C ) be quasi-unipotent matrices such that the Jordan Canonical Form of B consists of a single block, and suppose that for all k ⩾ 0 the matrix A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93a16f8f26b2e6545ca396f71eba66d0
https://doi.org/10.1016/j.laa.2019.07.023
https://doi.org/10.1016/j.laa.2019.07.023
Autor:
Yash Lodha, Thomas Koberda
Publikováno v:
Ergodic Theory and Dynamical Systems. 40:2515-2532
We study 2-generated subgroups $\langle f,g\rangle such that $\langle f^{2},g^{2}\rangle$ is isomorphic to Thompson’s group $F$, and such that the supports of $f$ and $g$ form a chain of two intervals. We show that this class contains uncountably m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30186c8de05a6063cd97b4e3a9440ef9
https://doi.org/10.1017/etds.2019.14
https://doi.org/10.1017/etds.2019.14
Publikováno v:
Journal of Algebra. 519:111-129
In this paper we consider several classical and novel algorithmic problems for right-angled Artin groups, some of which are closely related to graph theoretic problems, and study their computational complexity. We study these problems with a view tow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9425ac5f3c9a1d3ab259313e7ec94fb2
https://doi.org/10.1016/j.jalgebra.2018.10.023
https://doi.org/10.1016/j.jalgebra.2018.10.023
We show that if $G_1$ and $G_2$ are non-solvable groups, then no $C^{1,\tau}$ action of $(G_1\times G_2)*\mathbb{Z}$ on $S^1$ is faithful for $\tau>0$. As a corollary, if $S$ is an orientable surface of complexity at least three then the critical reg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f836b71e6188f77750d9602697de84cb
http://arxiv.org/abs/2104.15073
http://arxiv.org/abs/2104.15073