Results 51 to 60 of about 356,127 (251)
High transitivity for more groups acting on trees
We establish a new sharp sufficient condition for groups acting on trees to be highly transitive. This give new examples of highly transitive groups, including icc non-solvable Baumslag-Solitar groups, thus answering a question of Hull and Osin.Comment ...
Fima, Pierre +3 more
core
Dimension and randomness in groups acting on rooted trees
We explore the structure of the p-adic automorphism group Gamma of the infinite rooted regular tree. We determine the asymptotic order of a typical element, answering an old question of Turan.
Abert, Miklos, Virag, Balint
core +3 more sources
ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu +10 more
wiley +1 more source
ABSTRACT Background and Objectives Multiple sclerosis (MS) exhibits racially disparate rates of disease progression. Black people with MS (B‐PwMS) experience a more severe disease course than non‐Hispanic White people with MS (NHW‐PwMS). Here we investigated structural and functional connectivity as well as structure–function decoupling in the ...
Emilio Cipriano +11 more
wiley +1 more source
On the residual and profinite closures of commensurated subgroups
The residual closure of a subgroup $H$ of a group $G$ is the intersection of all virtually normal subgroups of $G$ containing $H$. We show that if $G$ is generated by finitely many cosets of $H$ and if $H$ is commensurated, then the residual closure of ...
Caprace, Pierre-Emmanuel +3 more
core +1 more source
Objective Sjögren's disease is an autoimmune disorder that can impact multiple organ systems, including the peripheral nervous system (PNS). PNS manifestations, which can exist concurrently, include mononeuropathies, polyneuropathies, and autonomic nervous system neuropathies.
Anahita Deboo +88 more
wiley +1 more source
Trajectories of Physical Function in Canadian Children with Juvenile Idiopathic Arthritis
Objectives We describe trajectories of physical function in children newly diagnosed with juvenile idiopathic arthritis (JIA) and identify trajectories with persisting functional impairments and associated baseline characteristics. Methods We included patients enrolled in the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry ...
Clare Cunningham +14 more
wiley +1 more source
Groups acting acylindrically on trees
Abstract We develop a notion of groups that act acylindrically and non-elementarily on simplicial trees, which we call acylindrically arboreal groups. We then prove a complete classification of when graph products of groups and the fundamental groups of certain hyperbolic 3-manifolds are acylindrically arboreal, and use these ...
openaire +2 more sources
Objective This study aims to investigate lifestyle‐related factors in patients with psoriatic arthritis (PsA) and their association with disease activity measurements. Methods This multicenter cohort included 938 patients newly diagnosed with PsA, between 2013 and 2023. A composite lifestyle risk score (range 0 to 5) was calculated using five lifestyle‐
Batoul Hojeij +11 more
wiley +1 more source
L^2-Betti numbers and Plancherel measure
We compute $L^2$-Betti numbers of postliminal, locally compact, unimodular groups in terms of ordinary dimensions of reduced cohomology with coefficients in irreducible unitary representations and the Plancherel measure.
Petersen, Henrik Densing, Valette, Alain
core +1 more source

