Results 41 to 50 of about 11,119 (253)

Enlarging a Free Subgroup of a Symmetric Group Freely [PDF]

Proceedings of the American Mathematical Society, 1981
Free subgroups, the elements of which have ample cycles in their cycle decompositions, are enlarged to free subgroups of an infinite symmetric group by the specific construction of one more free generator.
Haimo, Franklin, Tretkoff, Marvin
openaire   +2 more sources

Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park, Eun‐Hyuk Choi, Jorge Otero‐Millan, David S. Zee, Jeong‐Yoon Choi, Ji‐Soo Kim   +5 more
wiley   +1 more source

Risk of Retinopathy Associated with Long‐Term Use of Hydroxychloroquine in Patients with Rheumatic Diseases: A Systematic Review and Meta‐Analysis

Arthritis Care &Research, EarlyView.
Objective We aimed to estimate the prevalence and cumulative incidence of hydroxychloroquine retinopathy (HCQ‐R) and its risk factors among patients receiving long‐term HCQ with rheumatic diseases through a systematic review and meta‐analysis of observational studies that used spectral‐domain optical coherence tomography (SD‐OCT) for screening ...
Narsis Daftarian, Chloe Yue, Steve D Levasseur, Hui Xie, J. Antonio Avina‐Zubieta   +4 more
wiley   +1 more source

Hecke Groups, Dessins d'Enfants and the Archimedean Solids

Frontiers in Physics, 2015
Grothendieck's dessins d'enfants arise with ever-increasing frequency in many areas of 21st century mathematical physics. In this paper, we review the connections between dessins and the theory of Hecke groups. Focussing on the restricted class of highly
Yang-Hui eHe, Yang-Hui eHe, James eRead
doaj   +1 more source

Ferroelectricity in Antiferromagnetic Wurtzite Nitrides

Advanced Functional Materials, EarlyView.
We establish MnSiN2${\rm MnSiN}_2$ and MnGeN2${\rm MnGeN}_2$ as aristotypes of a new multiferroic wurtzite family that simultaneously exhibits ferroelectricity and antiferromagnetism with altermagnetic spin splitting. By strategically substituting alkaline‐earth metals, we predict new materials with coexisting switchable polarization, spin texture, and
Steven M. Baksa, Lin‐Ding Yuan, Stephen D. Wilson, James M. Rondinelli   +3 more
wiley   +1 more source

On the depth of subgroups of simple groups

Forum of Mathematics, Sigma
The depth of a subgroup H of a finite group G is a positive integer defined with respect to the inclusion of the corresponding complex group algebras $\mathbb {C}H \subseteq \mathbb {C}G$ .
Timothy C. Burness
doaj   +1 more source

Maximal subgroups of symmetric groups [PDF]

Transactions of the American Mathematical Society, 1966
The cardinality of M shall be denoted by I MI. The support of s e S(M) is defined by spts={xeM:s(x)#x}. The fixed set of s=fs s={xeM:s(x)=x} = M-s spts.IfIMI = X > d,d < Y < X +,defineS(X,Y) ={scES(M): I spts |< Y}. The alternating subgroup shall be denoted A(X).
openaire   +1 more source

Reversible Hydration Tuning of Polar Order and Large Nonlinear Optical Response in a 2D van der Waals Crystal, LiInP2S6

Advanced Materials, EarlyView.
Hydration‐induced symmetry breaking transforms layered LiInP2S6${\rm LiInP}_2{\rm S}_6$ from a nonpolar to a chiral‐polar phase, producing a giant enhancement of non‐resonant second‐harmonic generation. The reversible tuning of polar order through molecular intercalation establishes a strategy for dynamically controlling nonlinear optical ...
Jadupati Nag, Saugata Sarker, Michael J. Waters, Safdar Imam, Himirkanti Sarkar, Anthony Richardella, James M. Rondinelli, Mercouri G. Kanatzidis, Venkatraman Gopalan   +8 more
wiley   +1 more source

Lead‐Free Chiral Hybrid Metal Halides for Circularly Polarized Light‐Emitting Diodes

Advanced Optical Materials, EarlyView.
Lead‐free chiral hybrid metal halides provide a versatile platform for realizing chiroptical responses through chiral modulation of metal–halide frameworks with diverse dimensionalities, induces inversion‐symmetry breaking and enables dissymmetric excited‐state transitions toward efficient circularly polarized luminescence and electroluminescence. This
Kun Zhu, Li Wan
wiley   +1 more source

Chains of subgroups in symmetric groups

Journal of Algebra, 1989
Eine Untergruppenkette der Länge m einer endlichen Gruppe G ist eine echt abnehmende Kette von Untergruppen \(G=G_ 0>G_ 1>...>G_ m=\{1\}\). Mit l(G) ist die maximale Länge einer Untergruppenkette von G bezeichnet. Verff. beweisen folgende Vermutung von \textit{L. Babai} [Commun.
Cameron, Peter J, Solomon, Ron, Turull, Alexandre   +2 more
openaire   +2 more sources