Results 61 to 70 of about 661 (227)

Classes of groups related to F^a,b,c

, 1978
SynopsisGroups having two generators and two relations are studied. The Reidemeister-Schreier algorithm is used to determine presentations for their derived groups. This enables the orders of the groups to be found.
E. F. Robertson, C. M. Campbell
core   +1 more source

Synergistic Spin‐Polarization and Single‐Atom Engineering in Magnetic Heterojunctions for Efficient Solar Water Splitting

Advanced Science, EarlyView.
High‐throughput screening led to the identification of 67 Z‐scheme heterojunctions (comprising 2D magnetic transition metal halides and non‐magnetic transition metal chalcogenides). For CrI3/MoTe2 and CrI3/WTe2, electronic structure analysis demonstrated that synergistic crystallographic point group and built‐in electric field effects generate a ...
Hongyang Ren, Zhenzhou Guo, Huirong Wu, Peilin Huang, Jie Yang, Jie Zhang, Guangqian Ding, Hongkuan Yuan, Biao Wang   +8 more
wiley   +1 more source

On the number of defining relations for nonfibered kaehler groups [PDF]

, 1999
We present minimal bounds for the deficiency (least difference between numbers of generators and relations among all presentations of a group) of fundamental groups of quasiprojective manifolds which do not fiber over a curve. The bound is derived from a
Bauer-Catanese, Ingrid, Amorós Torrent, Jaume   +1 more
core  

Presentations of surface braid groups

, 2010
Neste trabalho, estudamos os grupos de tranças em superfícies visando encontrar apresentações para estes grupos em superfícies fechadas orientáveis de gênero g >= 1 ou superfícies fechadas não orientáveis de gênero g >= 2.
Juliana Roberta Theodoro de Lima, Lima, Juliana Roberta Theodoro de   +1 more
core   +1 more source

Presentations of finite simple groups: a computational approach

All nonabelian finite simple groups of rank $n$ over a field of size $q$, with the possible exception of the Ree groups $^2G_2(3^{2e+1})$, have presentations with at most $80 $ relations and bit-length $O(\log n +\log q)$.
Kassabov, M., Kantor, W.M., Guralnick, R.M., Lubotzky, A.   +3 more
core   +1 more source

Magnetoelectric Nanoparticle‐Based Wireless Brain–Computer Interface: Underlying Physics and Projected Technology Pathway

Advanced Science, EarlyView.
Magnetoelectric nanoparticles (MENPs) enable fully wireless, minutely invasive neuromodulation, and potentially neural recording, by converting magnetic into electric and, conversely, electric into magnetic fields, respectively, at high spatiotemporal resolution.
Elric Zhang, Max Shotbolt, Mostafa Abdel‐Mottaleb, Shawnus Chen, Victoria Andre, Jieyuan Tian, Jonathan Shulgach, Max Murphy, Brian Noga, Ping Liang, Darcy Griffin, Douglas Weber, Marta Pardo, Salvador Pane, Sakhrat Khizroev   +14 more
wiley   +1 more source

Presentations of Topological Full Groups by Generators and Relations

, 2016
We describe generators and defining relations for the commutator subgroup of topological full groups of minimal subshifts. We show that the world problem in a topological full group is solvable if and only if the language of the underlying subshift is ...
Konstantin Medynets, Rostislav Grigorchuk   +1 more
core  

Type‐II Dirac Fermions in Monolayer In2O: Interplay of Magnetotransport, Spin Hall Effect, and Superconductivity

Advanced Science, EarlyView.
First‐principles calculations reveal that monolayer In2O${\rm In}_2{\rm O}$ hosts type‐II Dirac fermions near the Fermi level, which split into Weyl points under spin‐orbit coupling. The material exhibits negative and giant magnetoresistance, a pronounced spin Hall effect, and phonon‐mediated superconductivity at 1.5 K, establishing it as a unique ...
Qing‐Bo Liu, De‐Ming Feng, Wen‐Neng Zhao, Yu‐Yang Zhao, Lun Xiong, Xing‐Yi Tan, Hua‐Hua Fu   +6 more
wiley   +1 more source

High‐Throughput Screening and Interpretable Machine Learning for Rational Design of Bimetallic Catalysts for Methane Activation

Advanced Science, EarlyView.
ABSTRACT Methane's efficient catalytic removal is vital for sustainable development. Bimetallic catalysts, though promising for methane activation, pose a design challenge due to their complex compositional space. This work introduces an integrated framework that combines high‐throughput density functional theory (DFT) and interpretable machine ...
Mingzhang Pan, Tian Zhang, Jiawei Dong, Yubao Xie, Kaifeng Zhong, Wei Guan, Haiqiao Wei, Changcheng Fu, Yaqiong Su   +8 more
wiley   +1 more source

A Combinatorial Generalisation of Rank two Complex Reflection Groups via Generators and Relations

Complex reflection groups of rank two are precisely the finite groups in the family of groups that we call virtual complex reflection groups of rank two. These groups are particular cases of $J$-groups as defined by Achar \& Aubert in ['On rank 2 complex
Haladjian, Igor
core   +1 more source