Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Domat, George"'
We classify surface Houghton groups, as well as their pure subgroups, up to isomorphism, commensurability, and quasi-isometry.
Comment: 9 pages, 3 figures; v2 has a slightly expanded introduction with an example. To appear in Journal of Group Th
Comment: 9 pages, 3 figures; v2 has a slightly expanded introduction with an example. To appear in Journal of Group Th
Externí odkaz:
http://arxiv.org/abs/2312.15330
We completely classify the locally finite, infinite graphs with pure mapping class groups admitting a coarsely bounded generating set. We also study algebraic properties of the pure mapping class group: We establish a semidirect product decomposition
Externí odkaz:
http://arxiv.org/abs/2309.07885
We show that the closure of the compactly supported mapping class group of an infinite-type surface is not generated by the collection of multitwists (i.e. products of powers of twists about disjoint non-accumulating curves).
Comment: 7 pages, 1
Comment: 7 pages, 1
Externí odkaz:
http://arxiv.org/abs/2301.08780
Autor:
Dickmann, Ryan, Domat, George, Hill, Thomas, Kwak, Sanghoon, Ospina, Carlos, Patel, Priyam, Rechkin, Rebecca
In his paper, Thurston shows that a positive real number $h$ is the topological entropy for an ergodic traintrack representative of an outer automorphism of a free group if and only if its expansion constant $\lambda = e^h$ is a weak Perron number. T
Externí odkaz:
http://arxiv.org/abs/2209.15102
Publikováno v:
New York J. Math. 28 (2022), 1506-1511
We prove that the full automorphism group and the outer automorphism group of the free group of countably infinite rank are coarsely bounded. That is, these groups admit no continuous actions on a metric space with unbounded orbits, and have the quas
Externí odkaz:
http://arxiv.org/abs/2207.12518
Publikováno v:
Adv. Math. 413 (2023), 108836
We discuss the large-scale geometry of pure mapping class groups of locally finite, infinite graphs, motivated by recent work of Algom-Kfir--Bestvina and the work of Mann--Rafi on the large-scale geometry of mapping class groups of infinite-type surf
Externí odkaz:
http://arxiv.org/abs/2201.02559
The far-reaching work of Dahmani-Guirardel-Osin and recent work of Clay-Mangahas-Margalit provide geometric approaches to the study of the normal closure of a subgroup (or a collection of subgroups)in an ambient group $G$. Their work gives conditions
Externí odkaz:
http://arxiv.org/abs/2010.10735
Autor:
Domat, George, Dickmann, Ryan
We show that the closure of the compactly supported mapping class group of an infinite type surface is not perfect and that its abelianization contains a direct summand isomorphic to an uncountable direct sum of rationals. We also extend this to the
Externí odkaz:
http://arxiv.org/abs/2007.14929
Autor:
Domat, George, Plummer, Paul
We prove that the first integral cohomology of pure mapping class groups of infinite type genus one surfaces is trivial. For genus zero surfaces we prove that not every homomorphism to $\mathbb{Z}$ factors through a sphere with finitely many puncture
Externí odkaz:
http://arxiv.org/abs/1904.10565
Publikováno v:
In Advances in Mathematics 15 January 2023 413