Results 61 to 70 of about 75,161 (262)

Random Generation of Finite Simple Groups

Journal of Algebra, 1999
\textit{J. D. Dixon} [Math. Z. 110, 199-205 (1969; Zbl 0176.29901)] conjectured that if two elements are randomly chosen from a finite simple group \(G\), they will generate \(G\) with probability \(\to 1\) as \(|G|\to\infty\). Dixon [ibid.] proved this if \(G\) is an alternating group. \textit{W. M. Kantor} and \textit{A. Lubotzky} [Geom. Dedicata 36,
Guralnick, Robert M., Liebeck, Martin W., Saxl, Jan, Shalev, Aner   +3 more
openaire   +2 more sources

New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design

Advanced Engineering Materials, EarlyView.
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare, Y. Beideler, D. Chune, R. De Guio, T. Roland, H. Chibane   +5 more
wiley   +1 more source

Learning to be simple

AI for Science
In this work we employ machine learning to understand structured mathematical data involving finite groups and derive a theorem about necessary properties of generators of finite simple groups.
Yang-Hui He, Vishnu Jejjala, Mishra Challenger, Em Sharnoff   +3 more
doaj   +1 more source

DigiChrom: A Domain Ontology for Semantic Representation of Trivalent Chromium Platings and Its Large Language Model‐Based Alignment With Multiple Mid‐Level Ontologies

Advanced Engineering Materials, EarlyView.
Digitalizing electroplating requires both domain knowledge and interoperability. This work introduces PlatOn, a domain ontology for trivalent chromium plating and coating characterization, and a hybrid pipeline that aligns it to a mid‐level reference ontology by combining eight similarity metrics with language model reasoning. Expert‐validated mappings
Janik Harter, Elena Garcia Trelles, Christoph Schweizer, Thomas Seifert, Christoph Baumer, Mahmoud Elkady, Katja Feige, Daniel Grimme, Edgar Hoffmann, Andreas Waibel, Anke Walter   +10 more
wiley   +1 more source

Probabilistic Generation of Finite Simple Groups

Journal of Algebra, 2000
It is well known that any finite group \(G\) can be generated by two elements and the probability that two elements generate \(G\) approaches 1 as the order of \(G\) goes to infinity. The paper under review deals with a more specific problem. As the main result the authors prove that for each finite almost simple group \(G\) there exists a conjugacy ...
Guralnick, Robert M., Kantor, William M.
openaire   +1 more source

High‐Resolution Corrosion Fingerprinting of Alloy Libraries via Microdroplet Spectroelectrochemistry

Advanced Engineering Materials, EarlyView.
Ionic‐liquid microdroplet spectroelectrochemistry enables stable, localized electrochemical measurements over extended timescales. By coupling impedance spectroscopy, wetting analysis, finite‐element simulations, and operando Raman spectroscopy, it disentangles geometrical and electrochemical effects, opening new opportunities for rapid corrosion ...
Ekaterina Kurchavova, Oumaïma Gharbi, Mireille Turmine, Vincent Vivier   +3 more
wiley   +1 more source

On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and $A_5$

Известия Иркутского государственного университета: Серия "Математика", 2017
A group is said to be periodic, if any of its elements is of finite order. A Shunkov group is a group in which any pair of conjugate elements generates Finite subgroup with preservation of this property when passing to factor groups by finite Subgroups ...
A. Shlepkin
doaj   +1 more source

Foundational Machine‐Learning Interatomic Potential for Simulating Chemically Complex Ni‐Based Superalloys

Advanced Engineering Materials, EarlyView.
We apply a foundational machine‐learning interatomic potential based on the graph atomic cluster expansion (GRACE) to simulate the commercial Ni‐based single‐crystal superalloy CMSX‐4. Hybrid Monte‐Carlo/molecular dynamics sampling resolves short‐range order in the γ phase and L12 sublattice occupancies in the γ’ phase and connects them to stacking ...
Aditya Vishwakarma, Sarath Menon, Fritz Körmann, Thomas Hammerschmidt, Ralf Drautz   +4 more
wiley   +1 more source

Superlubricity and Corrosion Inhibition Properties of Solvate Ionic Liquids in Hybrid Carbon Fiber Reinforced Plastic–Steel Interfaces

Advanced Engineering Materials, EarlyView.
Solvate ionic liquids lubrication reduced the coefficient of friction by ∼60% compared to dry sliding, reaching steady‐state values as low as 0.04–0.05. Corrosion weight‐loss measurements in 1 M HCl further demonstrated significant inhibition behavior, with only 100 ppm of [Li(G3)][TFSI] (∼68.5 μL/L) reducing corrosion‐product weight loss by 63 ...
Sameh Dabees, Timothy Harte, Bhagya Dharmasiri, Y. Athulya Wickramasingha, David J. Hayne, Daniel J. Eyckens, Luke C. Henderson   +6 more
wiley   +1 more source

On Huppert's conjecture for F_4(2) [PDF]

International Journal of Group Theory, 2012
Let $G$ be a finite group and let $text{cd}(G)$ be the set of all complex irreducible character degrees of $G$. B. Huppert conjectured that if $H$ is a finite nonabelian simple group such that $text{cd}(G) =text{cd}(H)$, then $Gcong H times A$, where $A$
Hung P Tong-Viet, Thomas P Wakefield
doaj