Results 81 to 90 of about 803,275 (234)
Elementary abelian subgroups: from algebraic groups to finite groups [PDF]
We describe a new approach for classifying conjugacy classes of elementary abelian subgroups in simple algebraic groups over an algebraically closed field, and understanding the normaliser and centraliser structure of these.
An, Jianbei +2 more
core +4 more sources
On representations of elementary subgroups of Chevalley groups over algebras [PDF]
It is shown that every nontrivial linear or projective representation of the elementary subgroup of a Chevalley group over an algebra containing an infinite field must have degree greater than or equal to the square root of the dimension of the corresponding Chevalley-Demazure group scheme adding 1 and the equality emerges only if ...
openaire +1 more source
On maximal subgroups of free idempotent generated semigroups [PDF]
We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup.
Ruskuc, N. +5 more
core +1 more source
Stage‐Dependent β‐Synuclein Links MRI and Cognitive Decline in Alzheimer's Disease
ABSTRACT Objective Synaptic degeneration drives cognitive decline in Alzheimer's disease (AD), but synaptic biomarkers are scarce. Brain‐enriched β‐synuclein emerged as a synaptic damage marker. We investigated its diagnostic, prognostic, and structural correlates across the AD continuum.
Ulaş Ay +15 more
wiley +1 more source
On the closure of an elementary abelian 2-subgroup of a finite group [PDF]
Let \(k\) be a field of two elements, let \(H\) be a finite group, let \(S\in\text{Syl}_2(H)\), let \(V\) be a \(kH\)-module (with \(| V|\) finite) and let \(t\) be an integer. Set \[ \begin{multlined}\mu_t(S)=\{ U\leq V\mid U\text{ is }S\text{-invariant and }U=\langle u\in U\mid\dim_k([u,A])\leq t\\ \text{for any elementary Abelian subgroup }A\text ...
openaire +3 more sources
ABSTRACT Objective Progression independent of relapse activity is a major determinant of long‐term disability in multiple sclerosis, but its immunopathologic basis remains incompletely understood. We investigated whether relapse‐independent progression in radiologically stable relapsing–remitting multiple sclerosis is associated with distinct ...
Antonio Bruno +19 more
wiley +1 more source
Students' gender can have subtle long-term effects on students' motivation, engagement, and ultimate achievement in learning a new language. Given the current focus on motivation in primary and secondary schools in many Asian countries, understanding ...
W.L.Quint Oga-Baldwin, LukeK. Fryer
doaj +1 more source
Reserves, Injury Severity, and Outcomes in Traumatic Brain Injury: A CENTER‐TBI Observational Study
ABSTRACT Objective Reserve refers to the brain's ability to maintain function after an injury and strongly relates to traumatic brain injury (TBI) outcomes. This study examined (1) whether associations between pre‐injury reserve proxies and outcomes differed across injury severity categories, and (2) whether the impact of injury severity varied across ...
Natascha Ekdahl +6 more
wiley +1 more source
On Algebraic and Definable Closures for Theories of Abelian Groups
Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
doaj +1 more source
ABSTRACT Objective Neuromyelitis optica spectrum disorder (NMOSD) is a devastating neurological disease that lacks serological biomarkers that can accurately reflect disease activity. We established a live cell‐based assay (LCBA) using serum with endogenous complement to quantify the overall cytotoxicity, offering a novel functional tool for monitoring
Xiaona Xu +10 more
wiley +1 more source

