Results 81 to 90 of about 15,709 (204)

Geometric realizations of the s‐weak order and its lattice quotients

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For an n$n$‐tuple s${\bm{s}}$ of nonnegative integers, the s${\bm{s}}$‐weak order is a lattice structure on s${\bm{s}}$‐trees, generalizing the weak order on permutations. We first describe the join irreducible elements, the canonical join representations, and the forcing order of the s${\bm{s}}$‐weak order in terms of combinatorial objects ...
Eva Philippe, Vincent Pilaud
wiley   +1 more source

On the distance eigenvalues of Cayley graphs

پژوهش‌های ریاضی, 2022
In this paper, graphs are undirected and loop-free and groups are finite. By Cn, Kn and Km,n we mean the cycle graph with n vertices, the complete graph with n vertices and the complete bipartite graph with parts size m and n, respectively.
Majid Arezoomand
doaj  

Group actions on complexes, Kozsul models, presentations, and a theorem of Coxeter [PDF]

, 2023
Nikolai V. Ivanov
openalex   +1 more source

Bruhat intervals, subword complexes and brick polyhedra for finite Coxeter groups [PDF]

, 2023
Dennis Jahn, Christian Stump
openalex   +1 more source

On profinite rigidity amongst free‐by‐cyclic groups I: The generic case

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract We prove that amongst the class of free‐by‐cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever G$G$ is a free‐by‐cyclic group with first Betti number equal to one, and H$H$ is a free‐by‐cyclic group which is profinitely isomorphic to G$G$, the ranks of the fibres and the characteristic ...
Sam Hughes, Monika Kudlinska
wiley   +1 more source

New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker, Tong Jin, Oliver Lorscheid   +2 more
wiley   +1 more source

Automorphisms of the generalized cluster complex

The American Journal of Combinatorics
We exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex.
Matthieu Josuat-Vergès
doaj   +1 more source

Biflat F‐structures as differential bicomplexes and Gauss–Manin connections

Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 786-808, March 2025.
Abstract We show that a biflat F‐structure (∇,∘,e,∇∗,∗,E)$(\nabla,\circ,e,\nabla ^*,*,E)$ on a manifold M$M$ defines a differential bicomplex (d∇,dE∘∇∗)$(d_{\nabla },d_{E\circ \nabla ^*})$ on forms with value on the tangent sheaf of the manifold. Moreover, the sequence of vector fields defined recursively by d∇X(α+1)=dE∘∇∗X(α)$d_{\nabla }X_{(\alpha +1)}
Alessandro Arsie, Paolo Lorenzoni
wiley   +1 more source

Complexes and Coxeter groups—Operations and outer automorphisms

Journal of Algebra, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Programmable Self-Assembly of Nanoplates into Bicontinuous Nanostructures. [PDF]

ACS Nano, 2023
Tanaka H, Dotera T, Hyde ST.
europepmc   +1 more source