Results 61 to 70 of about 9,212,172 (248)

Note on primitive permutation groups and a diophantine equation

Discrete Mathematics, 1980
AbstractIt is shown that there are no transitive rank 3 extensions of the projective linear groups H, PSL(m,q) ⩽ H ⩽ PFL(m,q), for any prime power q and integer m ⩽ 3. In the course of the proof the diophantine equation 5m + 11 = xp2, where m, x are positive integers, arose.
J. D. Henstridge, Cheryl E. Praeger
openaire   +2 more sources

Tailoring Symmetry Breaking in Engineered van der Waals Superlattices

Advanced Materials, EarlyView.
We pioneer a scheme to tailor superpotentials in graphene based on intrinsic substrate electronic orders rather than twist angle. The resulting superpotential folds graphene's Dirac cones to either Γ$\Gamma$ or K‐points, leading to distinct symmetry behaviors.
Keda Jin, Lennart Klebl, Zachary A. H. Goodwin, Junting Zhao, Felix Lüpke, Dante M. Kennes, Jose Martinez‐Castro, Markus Ternes   +7 more
wiley   +1 more source

Defect‐Templated Phase Engineering in Atomically Thin Metals

Advanced Materials, EarlyView.
Graphene defects are transformed from passive imperfections into programmable templates for phase‐selective growth of atomically thin silver. Plasma‐generated boundary defects favor Ag(1), whereas sp3‐rich zero‐layer graphene promotes Ag(2). This defect‐directed intercalation links local graphene chemistry to crystalline phase, electronic structure ...
Arpit Jain, Boyang Zheng, Sawani Datta, Kanchan Ulman, Jakob Henz, Matthew Wei‐Jun Liu, Van Dong Pham, Wen He, Chengye Dong, Li‐Syuan Lu, Alexander Vera, Nader Sawtarie, Wesley Auker, Ke Wang, Bob Hengstebeck, Zachary W. Henshaw, Shreya Mathela, Maxwell Wetherington, William H. Blades, Kenneth Knappenberger, Ursula Wurstbauer, Su Ying Quek, Ulrich Starke, Shengxi Huang, Vincent H. Crespi, Joshua A. Robinson   +25 more
wiley   +1 more source

Permutations which make transitive groups primitive [PDF]

Open Mathematics, 2009
Abstract In this article we look into characterizing primitive groups in the following way. Given a primitive group we single out a subset of its generators such that these generators alone (the so-called primitive generators) imply the group is primitive.
openaire   +3 more sources

On orbital partitions and exceptionality of primitive permutation groups [PDF]

Transactions of the American Mathematical Society, 2004
Let G G and X
Guralnick, R. M., Li, Cai Heng, Praeger, Cheryl E., Saxl, J.   +3 more
openaire   +2 more sources

Moiré Phase Mapping in Twisted Bilayer Liquid Crystals with Reconfigurable Light Polarization States

Advanced Materials, EarlyView.
Twisted bilayer liquid crystals are developed by vertical stacking assembly of two liquid crystals having designer domains and optical properties. These moiré‐symmetry, twisted liquid crystals demonstrate reconfigurable polarization states, moiré patterns and phases controlled by twist angles, providing a route to design active optical devices for ...
Jordan A. Wilson, Rui Huang, Allen Sun, Zixian Fang, Doreen Mwangombe, Keerthna Naina Rawat, Oliver Jacobs, Zhiwei Li   +7 more
wiley   +1 more source

Primitivity of Permutation Groups, Coherent Algebras and Matrices

Journal of Combinatorial Theory, Series A, 2002
The term ``primitive'' is used in many senses in algebra. In particular, a permutation group is primitive if it preserves no non-trivial equivalence relation; a coherent algebra (such as the centralizer algebra of a permutation group) is primitive if it does not contain the matrix of such a relation; and a real square matrix is primitive if some power ...
Gareth A. Jones, Mikhail H. Klin, Yossi Moshe   +2 more
openaire   +3 more sources

Topological Spin‐Texture Transitions in van der Waals Magnets Revealed by X‐Ray Fourier Transform Holography

Advanced Materials, EarlyView.
Applied here for the first time to a 2D material, high‐resolution synchrotron x‐ray Fourier transform holography directly images topological spin textures in Fe3GeTe2. Combined with atomistic tight‐binding simulations including itinerant electrons and Rashba spin‐orbit coupling, the approach reveals labyrinth, skyrmion, and mixed phases, and uncovers ...
Sourav Chowdhury, Soumyaranjan Dash, Michael Schneider, Christopher Klose, Chithra H. Sharma, Lisa‐Marie Kern, Tim A. Butcher, Josefin Fuchs, Santanu Pakhira, Samik DuttaGupta, Takashi Taniguchi, Kenji Watanabe, Sujit Das, Sanjeev Kumar, Bastian Pfau, Amir‐Abbas Haghighirad, Moritz Hoesch   +16 more
wiley   +1 more source

Computation of Pólya polynomials of primitive permutation groups [PDF]

Mathematics of Computation, 1981
An almost complete list of Pólya polynomials of all primitive permutation groups up to degree 20 has been computed. The number-theoretical interpretation of Pólya polynomials and van der Waerden’s test make this a good tool to find safe conjectures for determining the group of an equation. This work was encouraged and supported by Professor W.
openaire   +1 more source

On‐Chip Photonic Neural Network Architectures

Advanced Optical Materials, EarlyView.
This review presents a comprehensive overview of on‐chip photonic neural network architectures, covering key photonic building blocks, representative network types, and emerging applications. Recent advances, implementation challenges, and future directions are examined, highlighting the potential of integrated photonics to enable ultrafast, energy ...
Seokjin Hong, Berkay Neseli, Seungyeon Cho, Seungsoo Lee, Yeonjun Kim, Seungyoon Choi, Hyo‐Hoon Park, Hamza Kurt   +7 more
wiley   +1 more source