Results 71 to 80 of about 2,142 (221)
Journal of Algebra, 2013 The purpose of this article is to shed new light on the combinatorial structure of Kazhdan-Lusztig cells in infinite Coxeter groups $W$. Our main focus is the set $\D$ of distinguished involutions in $W$, which was introduced by Lusztig in one of his first papers on cells in affine Weyl groups.
Belolipetsky, M, Gunnells, PE
openaire +2 more sources
Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley +1 more source
Asymptotic dimension of one-relator groups and coxeter groups
, 2023 The asymptotic dimension is a large scale analogue of topological dimension which proved to be a very useful tool in Group Theory and Topology. In Chapter 1, we prove a new inequality for the asymptotic dimension of HNN-extensions.
Tselekidis, Panagiotis
core +1 more source
On the cohomology of Coxeter groups
Journal of Pure and Applied Algebra, 2001 See the review in Zbl 0943.20038.
openaire +3 more sources
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
openaire +2 more sources
Stack-sorting for Coxeter groups
Combinatorial Theory, 2022 39 pages, 11 figures; to be published in Combinatorial ...
openaire +4 more sources
Combination theorems for Wise's power alternative
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
wiley +1 more source
On a subgroup of the affine Weyl group C˜4
International Journal of Mathematics and Mathematical Sciences, 2000 We study a subgroup of the affine Weyl group C˜4 and show that this subgroup is a homomorphic image of the triangle group Δ(3,4,4).
Muhammad A. Albar
doaj +1 more source
On the Topology of the Cambrian Semilattices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 For an arbitrary Coxeter group $W$, David Speyer and Nathan Reading defined Cambrian semilattices $C_{\gamma}$ as certain sub-semilattices of the weak order on $W$.
Myrto Kallipoliti, Henri Mühle
doaj +1 more source
The Group of Autoprojectivities of the Finite Irreducible Coxeter Groups [PDF]
, 1996 We determine the group of autoprojectivities of every finite irreducible Coxeter ...
COSTANTINI, MAURO
core +1 more source