Results 21 to 30 of about 22,060 (219)

On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group

Известия Иркутского государственного университета: Серия "Математика", 2017
The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A.A. Shlepkin
doaj   +1 more source

On the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal

Доповiдi Нацiональної академiї наук України, 2021
A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements, and there exists a finitely generated subgroup H which has exactly r generators.
T.V. Velychko
doaj   +1 more source

Optoelectronic Synaptic Devices Using Molecular Telluride Phase‐Change Inks for Three‐Factor Learning

Advanced Functional Materials, EarlyView.
Optoelectronic synaptic devices based on solution‐processed molecular telluride GST‐225 phase‐change inks are demonstrated for three‐factor learning. A global optical signal broadcast through a silicon waveguide induces non‐volatile conductance updates exclusively in locally electrically flagged memristors.
Kevin Portner, Dhananjeya Kumaar, Giacomo Torti, Killian Keller, Till Zellweger, Florian M. Schenk, Christoph Weilenmann, Daniel Chelladurai, Vara Prasad Jonnalagadda, Ghazi Sarwat Syed, Vanessa Wood, Jürg Leuthold, Alexandros Emboras, Maksym Yarema, Mathieu Luisier   +14 more
wiley   +1 more source

Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

Математичні Студії
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj   +1 more source

An example of a non-Borel locally-connected finite-dimensional topological group

Karpatsʹkì Matematičnì Publìkacìï, 2017
According to a classical theorem of Gleason and Montgomery, every finite-dimensional locally path-connected topological group is a Lie group. In the paper for every $n\ge 2$ we construct a locally connected subgroup $G\subset{\mathbb R}^{n+1}$ of ...
I.Ya. Banakh, T.O. Banakh, M.I. Vovk
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Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups

Karpatsʹkì Matematičnì Publìkacìï, 2022
The authors study relations between the properties of torsion locally nilpotent groups and their norms of Abelian non-cyclic subgroups. The impact of the norm of Abelian non-cyclic subgroups on the properties of the group under the condition of norm non ...
T.D. Lukashova, M.G. Drushlyak
doaj   +1 more source

Two‐Photon Grayscale Lithography (2GL) of High Mechanical and Optical Quality 3D Silica Glass Microstructures

Advanced Functional Materials, EarlyView.
Two‐photon grayscale lithography (2GL) enables high‐speed and precise 3D printing of thermolyzed silica glass microstructures with optical‐grade surface quality, high quality factors, and mechanical strength utilizing a custom‐made pre‐glass resist based on polyhedral oligomeric silsesquioxane (POSS) modified with a high‐sensitivity Norrish type II ...
Jonathan L. G. Schneider, Jiajie Liang, Paul Somers, Martin Wegener, Jens Bauer   +4 more
wiley   +1 more source

On a bottom layer in a group

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
We consider the problem of recognizing a group by its bottom layer. This problem is solved in the class of layer-finite groups. A group is layer-finite if it has a finite number of elements of every order. This concept was first introduced by S.
V.I. Senashov, I.A. Paraschuk
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Functionalizing Micro‐to‐Mesoscopic Electrode Architectures for Regulating Electron Transfer Behaviors in Electrocatalysis

Advanced Functional Materials, EarlyView.
A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao, Jiaojiao Zhang, Shideng Yuan, Xinmeng Yu, Keming Wan, Xiaoguang Duan, Zhining Wang   +6 more
wiley   +1 more source

Electrostatic Superlattices Beyond 1:1 Stoichiometry

Advanced Functional Materials, EarlyView.
Polymer‐mediated charge regulation drives two hierarchical routes to higher‐stoichiometry nanoparticle superlattices. Tuning the polymer's molecular weight promotes progressive interstitial filling, transforming ZnS into the fully occupied CaF2${\rm CaF}_2$ lattice. Exchanging polymer assignment between large and small nanoparticles instead breaks CsCl
Binay P. Nayak, Prapti Kakkar, Wesley P. Korba, Honghu Zhang, Wenjie Wang, Surya K. Mallapragada, Alex Travesset, David Vaknin   +7 more
wiley   +1 more source