Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Damian Osajda"'
Autor:
Damian Osajda, Piotr Przytycki
Publikováno v:
Forum of Mathematics, Pi, Vol 10 (2022)
We prove the Tits Alternative for groups acting on $2$ -dimensional $\mathrm {CAT}(0)$ complexes with a bound on the order of the cell stabilisers.
Externí odkaz:
https://doaj.org/article/dad0a7a1452441adbfdb1d6462c802ff
Autor:
Damian Osajda
Publikováno v:
Journal of Topology and Analysis. :1-20
A group is SimpHAtic if it acts geometrically on a simply connected simplicially hereditarily aspherical (SimpHAtic) complex. We show that finitely presented normal subgroups of the SimpHAtic groups are either: finite, or of finite index, or virtuall
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05a7938f46af0944752b15f953c10164
https://doi.org/10.1142/s1793525321500515
https://doi.org/10.1142/s1793525321500515
Autor:
Damian Osajda, Jingyin Huang
Publikováno v:
Inventiones Mathematicae
A graph is Helly if every family of pairwise intersecting combinatorial balls has a nonempty intersection. We show that weak Garside groups of finite type and FC-type Artin groups are Helly, that is, they act geometrically on Helly graphs. In particu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83e2b037ced134ecfbacb2e73671d676
https://doi.org/10.1007/s00222-021-01030-8
https://doi.org/10.1007/s00222-021-01030-8
Publikováno v:
Duke Mathematical Journal. 171
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e2f08b7b49b76cee59e7f26922a35e14
https://doi.org/10.1215/00127094-2021-0069
https://doi.org/10.1215/00127094-2021-0069
Autor:
Damian Osajda, Alexandre Martin
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 170:445-477
We prove a combination theorem for hyperbolic groups, in the case of groups acting on complexes displaying combinatorial features reminiscent of non-positive curvature. Such complexes include for instance weakly systolic complexes and C'(1/6) small c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c1660dff29274fd4deff10a776defec5
https://doi.org/10.1017/s0305004119000446
https://doi.org/10.1017/s0305004119000446
Publikováno v:
Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society, American Mathematical Society, 2020, 268 (1309), pp.vi+159. ⟨10.1090/memo/1309⟩
Memoirs of the American Mathematical Society, 2020, 268 (1309), pp.vi+159. ⟨10.1090/memo/1309⟩
HAL
Memoirs of the American Mathematical Society, American Mathematical Society, 2020, 268 (1309), pp.vi+159. ⟨10.1090/memo/1309⟩
Memoirs of the American Mathematical Society, 2020, 268 (1309), pp.vi+159. ⟨10.1090/memo/1309⟩
HAL
This article investigates structural, geometrical, and topological characterizations and properties of weakly modular graphs and of cell complexes derived from them. The unifying themes of our investigation are various `nonpositive curvature' and `lo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::544a90896412e1e6243fe8307be7fdd9
https://doi.org/10.1090/memo/1309
https://doi.org/10.1090/memo/1309
Let $W$ be a $2$-dimensional Coxeter group, that is, a one with $\frac{1}{m_{st}}+\frac{1}{m_{sr}}+\frac{1}{m_{tr}}\leq 1$ for all triples of distinct $s,t,r\in S$. We prove that $W$ is biautomatic. We do it by showing that a natural geodesic languag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d042af3e5fef4cac1f65da986661797a
Autor:
Nima Hoda, Damian Osajda
Publikováno v:
International Journal of Algebra and Computation. 28:1247-1254
We show that 2-dimensional systolic complexes are quasi-isometric to quadric complexes with flat intervals. We use this fact along with the weight function of Brodzki, Campbell, Guentner, Niblo and Wright to prove that 2-dimensional systolic complexe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d12a2287b13e6799058e43d09201077
https://doi.org/10.1142/s021819671850056x
https://doi.org/10.1142/s021819671850056x
Publikováno v:
Advances in Mathematics. 391:107976
We prove the Tits Alternative for groups acting on 2-dimensional “recurrent” complexes with uniformly bounded cell stabilisers. This class of complexes includes, among others: 2-dimensional Euclidean buildings, 2-dimensional systolic complexes, B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2d02a6b32882ec61e3eb19fd5f41346
https://doi.org/10.1016/j.aim.2021.107976
https://doi.org/10.1016/j.aim.2021.107976
View the abstract.