Results 11 to 20 of about 859 (75)
The structure of Euclidean Artin groups [PDF]
, 2013 The Coxeter groups that act geometrically on euclidean space have long been classified and presentations for the irreducible ones are encoded in the well-known extended Dynkin diagrams. The corresponding Artin groups are called euclidean Artin groups and,
Jon McCammond
semanticscholar +1 more source
Compactly supported cohomology of buildings [PDF]
, 2008 We compute the compactly supported cohomology of the standard realization of any locally finite building. MathematicsSubjectClassification(2010). Primary 20F65; Secondary 20E42, 20F55, 20J06, 57M07.
Michael W. Davis +4 more
semanticscholar +1 more source
, 2013 The extension of majorization (also called the rearrangement ordering), to more general groups than the symmetric (permutation) group, is referred to asG-majorization.
Andrew R. Francis, H. Wynn
semanticscholar +1 more source
Reconstructible graphs, simplicial flag complexes of homology manifolds and associated right-angled Coxeter groups [PDF]
, 2015 In this paper, we investigate a relation between finite graphs, simplicial flag complexes and right-angled Coxeter groups, and we provide a class of reconstructible finite graphs. We show that if $\Gamma$ is a finite graph which is the 1-skeleton of some
Hosaka, Tetsuya
core +3 more sources
A Limit Relation for Dunkl-Bessel Functions of Type A and B [PDF]
, 2008 We prove a limit relation for the Dunkl-Bessel function of type $B_N$ with multiplicity parameters $k_1$ on the roots $\pm e_i$ and $k_2$ on $\pm e_i\pm e_j$ where $k_1$ tends to infinity and the arguments are suitably scaled.
Rösler, Margit, Voit, Michael
core +4 more sources
On Bestvina-Mess Formula [PDF]
, 2005 Bestvina and Mess [BM] proved a remarkable formula for torsion free hyperbolic groups $$ \dim_L\partial\Gamma=cd_L\Gamma-1 $$ connecting the cohomological dimension of a group $\Gamma$ with the cohomological dimension of its boundary $\partial\Gamma$. In
Dranishnikov, A. N.
core +1 more source
Eulerian cube complexes and reciprocity [PDF]
, 2013 that G admits a suitable automatic structure, Gx.t/ can be shown to be a rational function. We prove that if Y is a manifold of dimension n, then this rational function satisfies the reciprocity formula Gx.t 1 /D. 1/ n Gx.t/.
R. Scott
semanticscholar +1 more source
Examples of buildings constructed via covering spaces [PDF]
, 2008 Covering space theory is used to construct new examples of buildings. Mathematics Subject Classification (2000). 20F65, 20F55, 20E42, 20J06, 51E24, 57M07.
Michael W. Davis
semanticscholar +1 more source
Bounded Rank Subgroups of Coxeter Groups, Artin Groups and One‐Relator Groups with Torsion [PDF]
, 2002 We obtain a number of results regarding the freeness of subgroups of Coxeter groups, Artin groups and one‐relator groups with torsion. In the case of Coxeter groups, we also obtain results on quasiconvexity and subgroup separability.
Ilya Kapovich, P. Schupp
semanticscholar +1 more source
Parametrized braid groups of Chevalley groups. [PDF]
Documenta Mathematica, 2002 We introduce the notion of a braid group parametrized by a ring, which is defined by generators and relations and based on the geometric idea of painted braids.
J. Loday, M. R. Stein
semanticscholar +1 more source