Results 41 to 50 of about 5,391,081 (192)

Acylindrical visual splittings and the Tits alternative for Artin groups

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conclusions of two well‐known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative.
William D. Cohen
wiley   +1 more source

Intersection of parabolic subgroups in Euclidean braid groups: a short proof

Comptes Rendus. Mathématique
We give a short proof for the fact, already proven by Thomas Haettel, that the arbitrary intersection of parabolic subgroups in Euclidean Braid groups $A[\tilde{A}_n]$ is again a parabolic subgroup. To that end, we use that the spherical-type Artin group
Cumplido, María, Gavazzi, Federica, Paris, Luis   +2 more
doaj   +1 more source

h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley   +1 more source

Rigidity phenomena and the statistical properties of group actions on $\text {CAT}(0)$ cube complexes

Forum of Mathematics, Sigma
We compare the marked length spectra of some pairs of proper and cocompact cubical actions of a nonvirtually cyclic group on $\mathrm {CAT}(0)$ cube complexes.
Stephen Cantrell, Eduardo Reyes
doaj   +1 more source

Virtual Artin groups

Proceedings of the London Mathematical Society, 2022
Starting from the observation that the standard presentation of a virtual braid group mixes the standard presentation of the corresponding braid group with the standard presentation of the corresponding symmetric group and some mixed relations that mimic the action of the symmetric group on its root system, we define a virtual Artin group $VA[Γ]$ of a ...
Bellingeri, Paolo, Paris, Luis, Thiel, Anne‐Laure   +2 more
openaire   +6 more sources

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Integrable measure equivalence rigidity of right-angled Artin groups via quasi-isometry

, 2023
Let $G$ be a right-angled Artin group with $|\mathrm{Out}(G)|
Huang, Jingyin, Horbez, Camille
core  

Explicit class numbers of Artin-Schreier function fields in every tower of their constant field extensions

Open Mathematics
Let K be an Artin-Schreier extension of the rational function field k≔Fq(T) $k{:=}{\mathbb{F}}_{q}\left(T\right)$ , where Fq ${\mathbb{F}}_{q}$ is a finite field of order q and q is a power of p.
Yoo Jinjoo, Lee Yoonjin
doaj   +1 more source

On the Brauer Group of an Arithmetic Model of a Variety over a Global Field of Positive Characteristic

Моделирование и анализ информационных систем, 2016
Let V be a smooth projective variety over a global field k = κ(C) of rational functions on a smooth projective curve C over a finite field Fq of characteristic p.
T. V. Prokhorova
doaj   +1 more source

Torsion pairs via the Ziegler spectrum

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We establish a bijection between torsion pairs in the category of finite‐dimensional modules over a finite‐dimensional algebra A$A$ and pairs (Z,I)$(\mathcal {Z},\mathcal {I})$ formed by a closed rigid set Z$\mathcal {Z}$ in the Ziegler spectrum of A$A$ and a set I$\mathcal {I}$ of indecomposable injective A$A$‐modules. This is as an extension
Lidia Angeleri Hügel, Rosanna Laking, Francesco Sentieri   +2 more
wiley   +1 more source