Results 131 to 140 of about 686,790 (292)
Independence and maximal subgroups
\(G\) denotes a finite group and \(M(G)\) the set of all maximal subgroups of \(G\). A simplicial complex \((M,{\mathcal T})\) is a finite set \(M\) and a set \(\mathcal T\) of subsets of \(M\) such that: (1) If \(m\in M\), then \(\{m\}\in{\mathcal T}\). (2) If \(A\in{\mathcal T}\) and \(B\subset A\), then \(B\in{\mathcal T}\).
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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
The Fischer-Clifford matrices of the inertia group 2^7:O-(6,2) of a maximal subgroup 2^7:SP(6,2) in SP(8,2) [PDF]
The subgroups of symplectic groups which fix a non-zero vector of the underlying symplectic space are called affine subgroups. The split extension group A(4) = 2^7:SP(6,2) is the affine subgroup of the symplectic group SP(8,2) of index 255. In this paper,
Richard Llewellyn Fray +1 more
doaj
ABSTRACT Objective CDKL5 deficiency disorder (CDD) is a rare, severe developmental and epileptic encephalopathy. There is a pressing need to develop effective and sustainable therapeutic strategies. We aimed to investigate the causal association between febrile episodes and epileptic seizures for therapeutic implications in CDD patients.
Siyi Wang +13 more
wiley +1 more source
Data‐Driven SuStaIn Model of Disability Progression in Amyotrophic Lateral Sclerosis
ABSTRACT Objective To determine whether ordinal Subtype and Stage Inference (SuStaIn) applied to routine ALSFRS‐R item scores can identify reproducible disability progression patterns in amyotrophic lateral sclerosis (ALS) and provide clinically meaningful staging.
Giammarco Milella +5 more
wiley +1 more source
Maximal subgroups and formations
For a subgroup-closed saturated formation \({\mathcal F}\) containing all nilpotent groups, the author studies various properties of the following subgroups of a finite group G, and of some related constructions: \(L_{{\mathcal F}}(G)=\cap ...
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Diffuse MRI Edema Predicts Relapse in Cerebral Amyloid Angiopathy–Related Inflammation
ABSTRACT Objective To identify MRI predictors of relapse and quantify relapse and mortality risk in cerebral amyloid angiopathy–related inflammation (CAA‐RI). A secondary objective was to assess the association between mycophenolate mofetil use and relapse risk. Methods We performed a retrospective cohort study of 36 patients with CAA‐RI treated at the
G. Abbas Kharal +10 more
wiley +1 more source
Utility of the APE2 Score as a Diagnostic Tool for Autoimmune Encephalitis
ABSTRACT Objective To retrospectively evaluate the diagnostic performance of the Antibody Prevalence in Epilepsy and Encephalopathy (APE2) score relative to clinician‐adjudicated autoimmune encephalitis (AE) and the Graus criteria in a tertiary neuroimmunology referral cohort, including antibody‐negative AE.
Bijoya Basu +3 more
wiley +1 more source
Prime power coverings of groups and field extensions
For a finite group A with normal subgroup G, a subgroup U of G is an A-prime-power-covering subgroup if U meets every A-conjugacy-class of elements of G of prime-power order. It is conjectured that |G:U| $|G:U|$ StartAbsoluteValue upper G colon upper
Michael Giudici +2 more
doaj +1 more source
On maximal subgroups of Thompson’s group $F$
We study subgroups of Thompson’s group F by means of an automaton associated with them. We prove that every maximal subgroup of F of infinite index is
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