Results 11 to 20 of about 31,876 (219)

Factorisations of sporadic simple groups

Journal of Algebra, 2006
A group \(G\) is called factorizable if there exist proper subgroups \(A\) and \(B \) of \(G\) such that \(G=AB\). The factorization is called exact if \(A\cap B=1\) is the trivial group. Recently factorizations of finite groups have attracted attention of mathematicians so that we mention a few research works. \textit{J. Wiegold} and \textit{A.
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Commuting involution graphs for sporadic simple groups

Journal of Algebra, 2007
Let \(G\) be a finite group, \(t\in G\) an involution and \(X=t^G\). The commuting involution graph \({\mathcal C}(G,X)\) has \(X\) as its vertex set with two distinct elements of \(X\) joined by an edge whenever they commute in \(G\). A number of authors have studied \({\mathcal C}(G,X)\) for various choices of \(G\) and \(X\), for example, \textit{B.
Bates, C., Bundy, D., Hart, S., Rowley, P.   +3 more
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Recognizing by Spectrum for the Automorphism Groups of Sporadic Simple Groups [PDF]

Communications in Mathematics and Statistics, 2015
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Mazurov, V. D., Moghaddamfar, A. R.
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Pairwise generating and covering sporadic simple groups

Journal of Algebra, 2010
Let \(G\) be a non-cyclic finite group that can be generated by two elements. A subset \(S\) of \(G\) is said to be a pairwise generating set for \(G\) if every distinct pair of elements in \(S\) generates \(G\). The maximal size of a pairwise generating set for \(G\) is denoted by \(\omega(G)\).
Holmes, Petra E., Maróti, Attila
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Tracking Motor Progression and Device‐Aided Therapy Eligibility in Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To characterise the progression of motor symptoms and identify eligibility for device‐aided therapies in Parkinson's disease, using both the 5‐2‐1 criteria and a refined clinical definition, while examining differences across genetic subgroups.
David Ledingham, Sahana Sathyanarayana, Charlotte B. Stewart, Robyn Iredale, Victoria Foster, Debra Galley, Mark Baker, Nicola Pavese   +7 more
wiley   +1 more source

The admissibility of sporadic simple groups

Journal of Algebra, 2009
A complete mapping of a group \(G\) is a bijection \(\theta\colon G\to G\) for which the mapping \(g\to g\theta(g)\) is also a bijection; \(G\) is admissible if \(G\) admits complete mappings. The Cayley table of a finite group \(G\) is a Latin square, and this Latin square has an orthogonal mate if and only if \(G\) is admissible.
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Five‐Year Disease Progression in Synuclein Seeding Positive Sporadic Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To provide a comprehensive description of disease progression in synuclein seeding assay (SAA) positive sporadic Parkinson Disease participants, using Neuronal Synuclein Disease integrated biological and functional impairment staging framework.
Paulina Gonzalez‐Latapi, Caroline Gochanour, Seung Ho Choi, Hyunkeun Cho, Chelsea Caspell‐Garcia, Christopher Coffey, Michael Brumm, David‐Erick Lafontant, Yuge Xiao, Thomas Tropea, John Seibyl, Caroline Tanner, Charles S. Venuto, Karl Kieburtz, Lana M. Chahine, Kathleen L. Poston, Andrew Siderowf, Kenneth Marek, Tanya Simuni, The Parkinson's Progression Markers Initiative   +19 more
wiley   +1 more source

SPG4 and Dementia: Expanding the Clinical Spectrum

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Hereditary spastic paraplegia (HSP) is a group of disorders characterized by progressive spasticity and lower limb weakness, with mutations in SPG4/SPAST being the most common cause. Detailed studies and clinical and molecular comparisons across different populations are missing.
Emanuele Panza, Arun Meyyazhagan, Eliseo Picchi, Gustavo Ribas, Ingrid Faber, Ryosuke Miyamoto, Preethi Basavaraju, Paolo Eusebi, Haripriya Kuchi Bhotla, Mario Stasi, Fabrizio Gaudiello, Francesco Patti, Filippo Maria Santorelli, Marcondes Cavalcante França Jr, José Luiz Pedroso, Orlando Graziani Povoas Barsottini, Hélio Afonso Ghizoni Teive, Peter Henry St George‐Hyslop, Toshitaka Kawarai, Antonio Orlacchio   +19 more
wiley   +1 more source

Standard Generators for Sporadic Simple Groups

Journal of Algebra, 1996
Many results about sporadic simple groups are obtained by computer calculations. A common problem is to check and reproduce such results. The aim of the paper under review is to improve the reproducibility of computational results on sporadic groups.
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A Systematic Comparison of Alpha‐Synuclein Seed Amplification Assays for Increasing Reproducibility

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Seed amplification assays (SAAs) enable ultrasensitive detection of misfolded α‐synuclein across biofluids and tissues. Yet, heterogeneity in protocols limits cross‐study comparability and clinical translation. Here, we review α‐synuclein SAA methods and their performance across various biological matrices.
Manuela Amaral‐do‐Nascimento, Daniela F. Santos, Tuane C. R. G. Vieira, Tiago F. Outeiro   +3 more
wiley   +1 more source