Results 1 to 10 of about 348 (37)
Density of Metric Small Cancellation in Finitely Presented Groups [PDF]
Groups, Complexity, Cryptology, 2020 Small cancellation groups form an interesting class with many desirable properties. It is a well-known fact that small cancellation groups are generic; however, all previously known results of their genericity are asymptotic and provide no information ...
Alex Bishop, Michal Ferov
doaj +1 more source
Sub-Finsler Horofunction Boundaries of the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2021 We give a complete analytic and geometric description of the horofunction boundary for polygonal sub-Finsler metrics, that is, those that arise as asymptotic cones of word metrics, on the Heisenberg group.
Fisher Nate, Golo Sebastiano Nicolussi
doaj +1 more source
Packing subgroups in relatively hyperbolic groups [PDF]
, 2006 Our main result establishes the bounded packing of relatively quasiconvex subgroups of a relatively hyperbolic group, under mild hypotheses. As an application, we prove that relatively quasiconvex subgroups have finite height and width, properties that ...
G. Hruska +3 more
semanticscholar +1 more source
Hadamard spaces with isolated flats [PDF]
, 2004 We explore the geometry of nonpositively curved spaces with isolated flats, and its consequences for groups that act properly discontinuously, cocompactly, and isometrically on such spaces.
Christopher Hruska, B. Kleiner
semanticscholar +1 more source
On asymptotic dimension of groups [PDF]
, 2000 We prove a version of the countable union theorem for asymp- totic dimension and we apply it to groups acting on asymptotically nite dimensional metric spaces. As a consequence we obtain the following nite dimensionality theorems.
G. Bell, Alexander Dranishnikov
semanticscholar +1 more source
Injectivity results for coarse homology theories
Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1619-1684, December 2020., 2020 Abstract We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more generally, groups with finite decomposition complexity.
Ulrich Bunke +3 more
wiley +1 more source
The asymptotic geometry of right-angled Artin groups, I [PDF]
, 2007 We study atomic right-angled Artin groups ‐ those whose defining graph has no cycles of length 4, and no separating vertices, separating edges, or separating vertex stars.
M. Bestvina, B. Kleiner, M. Sageev
semanticscholar +1 more source
Non-positively curved complexes of groups and boundaries [PDF]
, 2012 Given a complex of groups over a finite simplicial complex in the sense of Haefliger, we give conditions under which it is possible to build an EZ ‐structure in the sense of Farrell and Lafont for its fundamental group out of such structures for its ...
Alexandre Martin
semanticscholar +1 more source
On group-theoretic models of randomness and genericity [PDF]
, 2007 We compare Gromov's density model of random groups with the Arzhantseva- Ol'shanskii model of genericity. Mathematics Subject Classification (2000). 20F69; 20F65, 20E07.
Ilya Kapovich, P. Schupp
semanticscholar +1 more source
The Asymptotic Dimension of the First Grigorchuk Group is Infinity [PDF]
, 2006 We prove that the asymptotic dimension of the first Grigorchuk group is infinity.Comment: 3 ...
Smith, J.
core +4 more sources