Results 211 to 220 of about 3,228 (247)

Higman–Thompson groups and profinite properties of right-angled Coxeter groups

Selecta Mathematica, 2023
We prove that every right-angled Coxeter group (RACG) is profinitely rigid amongst all Coxeter groups. On the other hand we exhibit RACGs which have infinite profinite genus amongst all finitely generated residually finite groups.
Samuel M. Corson, Sam Hughes, Philip Moller, Olga Varghese   +3 more
semanticscholar   +1 more source

Coxeter groups are biautomatic

Inventiones Mathematicae, 2022
We prove that Coxeter groups are biautomatic. From our construction of the biautomatic structure it follows that uniform lattices in isometry groups of buildings are biautomatic.
Damian Osajda, P. Przytycki
semanticscholar   +1 more source

Coxeter groups

1990
J. Humphreys
openaire   +2 more sources

On the Efficiency of Coxeter Groups

Bulletin of the London Mathematical Society, 1997
If \(G\) is a finitely presented group and \(K\) is any \((G,2)\)-complex (that is, a finite 2-complex with fundamental group \(G\)), then it is well known that \(\chi(K)\geq 1-rk(H_1(G))+d(H_2(G))\). If equality holds for some \((G,2)\)-complex \(K\) then \(G\) is called efficient.
Baik, Y. G., Pride, S. J.
openaire   +2 more sources

Coxeter Groups

The Structure of Spherical Buildings, 2020
. We prove the meridional rank conjecture for twisted links and arborescent links associated to bipartite trees with even weights. These are substantial generalizations of pretzel links and two-bridge links.
Sebastian Baader, Ryan Blair, Alexandra Kjuchukova   +2 more
openaire   +2 more sources

Nerves of Coxeter groups

Russian Mathematical Surveys, 2003
Announcement of results.
openaire   +2 more sources

On Isomorphisms between Coxeter Groups

Designs, Codes and Cryptography, 2000
The author exhibits two non-isomorphic connected Coxeter diagrams of rank 4 (with labels 3 and \(\infty\)) such that the corresponding Coxeter groups are isomorphic. For related results compare \textit{T. Brady, J. P. McCammond, B. Mühlherr} and \textit{W. D. Neumann} [Geom. Dedicata 94, No. 1, 91-109 (2002)] and \textit{B.
openaire   +2 more sources

Reflection Groups and Coxeter Groups

Introduction to Soergel Bimodules, 2020
Ben Elias, Shotaro Makisumi, U. Thiel, G. Williamson   +3 more
semanticscholar   +1 more source

ON THE PROFINITE TOPOLOGY ON COXETER GROUPS

International Journal of Algebra and Computation, 2003
Using geometric methods we describe a large class of subgroups of Coxeter groups which are closed in the profinite topology and discuss some related open problems.
openaire   +1 more source

The Geometry and Topology of Coxeter Groups

Springer Monographs in Mathematics
Michael W. Davis
semanticscholar   +1 more source