Results 11 to 20 of about 3,228 (247)
Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity [PDF]
Groups, Geometry, and Dynamics, 2021 In deformation-rigidity theory, it is often important to know whether certain bimodules are weakly contained in the coarse bimodule. Consider a bimodule H over the group algebra C[Γ] with Γ a discrete group.
Wasilewski, Mateusz (author) +2 more
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Cyclically reduced elements in Coxeter groups [PDF]
Annales Scientifiques de l'Ecole Normale Supérieure, 2020 Let W be a Coxeter group. We provide a precise description of the conjugacy classes in W, in the spirit of Matsumoto's theorem. This extends to all Coxeter groups an important result on finite Coxeter groups by M. Geck and G. Pfeiffer from 1993.
Marquis, Timothée
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The galaxy of Coxeter groups [PDF]
Journal of Algebra, 2023 : In this paper we introduce the galaxy of Coxeter groups (of finite rank) – an infinite dimensional, locally finite, ranked simplicial complex which captures isomorphisms between finite rank Coxeter systems.
Yuri Santos Rego (17785967) +1 more
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Interval groups related to finite Coxeter groups I [PDF]
Algebraic Combinatorics, 2023 Baumeister B, Neaime G, Rees S. Interval groups related to finite Coxeter groups I. Algebraic Combinatorics . 2023;6(2).We derive presentations of the interval groups related to all quasi-Coxeter elements in the Coxeter group of type Dn.
Barbara Baumeister +5 more
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Coxeter groups as Beauville groups [PDF]
Monatshefte für Mathematik, 2015 We generalize earlier work of Fuertes and González-Diez as well as earlier work of Bauer, Catanese and Grunewald to Coxeter groups in general by classifying which of these are strongly real Beauville groups. As a consequence of this we determine which of these groups are Beauville groups. We also show that none of these groups are mixed Beaville groups
Fairbairn, Ben
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Symmetric presentations of Coxeter groups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2011 AbstractWe apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of typesAn,DnandEn, and show that these are naturally arrived at purely through consideration of certain natural actions of symmetric groups.
Fairbairn, Ben, Ben Fairbairn
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Stack-sorting for Coxeter groups [PDF]
Combinatorial Theory, 2022 39 pages, 11 figures; to be published in Combinatorial ...
Colin Defant
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Bender–Knuth Billiards in Coxeter Groups
Forum of Mathematics, SigmaLet $(W,S)$ be a Coxeter system, and write $S=\{s_i:i\in I\}$ , where I is a finite index set. Fix a nonempty convex subset $\mathscr {L}$ of W. If W is of type A, then $\mathscr {L}$ is the set of linear extensions of a poset,
Grant Barkley +4 more
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On Subgroups of Coxeter Groups
, 1998 A right-angled Coxeter group is a group with a given set of generators of order two, subject only to the relations that certain pairs of the generators commute. Various papers have shown how homological properties of the Coxeter group are related to homological properties of the simplicial complex whose simplices are the sets of commuting generators ...
Dicks, Warren, Leary, Ian J
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On quotients of Coxeter groups [PDF]
Journal of Algebra, 2023 A group $G$ is said to be just infinite if $G$ itself is infinite but all proper quotients of $G$ are finite. We show that a Coxeter group $W_\Gamma$ is just infinite if and only if $\Gamma$ is isomorphic to one of the following graphs: $\widetilde{A}_1$,
Philip Moller, Olga Varghese
semanticscholar +1 more source