Results 61 to 70 of about 46,736 (253)

On Order Prime Divisor Graphs of Finite Groups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
The order prime divisor graph 𝒫𝒟(G) of a finite group G is a simple graph whose vertex set is G and two vertices a, b ∈ G are adjacent if and only if either ab = e or o(ab) is some prime number, where e is the identity element of the group G and o(x ...
Sen Mridul K.   +2 more
doaj   +1 more source

Hurwitz Equivalence in Dihedral Groups

open access: yesThe Electronic Journal of Combinatorics, 2011
In this paper we determine the orbits of the braid group $B_n$ action on $G^n$ when $G$ is a dihedral group and for any $T \in G^n$. We prove that the following invariants serve as necessary and sufficient conditions for Hurwitz equivalence. They are: the product of its entries, the subgroup generated by its entries, and the number of times each ...
openaire   +3 more sources

Selenophene π‐Bridge Enables Balanced Ambipolar Transport in High‐Performance Organic Electrochemical Transistors

open access: yesAdvanced Science, EarlyView.
We synthesized a high‐performance balanced ambipolar OECT polymer, P(gTDPPSe), via selenophene π‐bridge engineering. The selenophene π‐bridge enhances backbone planarity and optimizes the energy levels for doping, enabling high and balanced p/n‐type transconductance‐a key factor for high‐gain complementary inverters.
Guichuan Zhu   +4 more
wiley   +1 more source

Application of the group action approach to solving linear Diophantine equations [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика
The article substantiates a method for solving linear Diophantine equations using the theory of group actions. The purpose of this paper is to introduce actions of certain groups on the set of linear Diophantine equations and to study their ...
Chistov, Ivan Sergeevich   +1 more
doaj   +1 more source

Computation‐Guided Control of Excited‐State Deactivation through Modulation of Conical‐Intersection Accessibility by Donor–Acceptor Asymmetry in Bridged Stilbene AIE Luminogens

open access: yesAdvanced Science, EarlyView.
Donor–acceptor asymmetry modulates conical‐intersection accessibility and topology in bridged stilbenes, providing mechanistic insight into excited‐state deactivation and aggregation‐induced emission (AIE). ABSTRACT A computation‐guided investigation of asymmetric donor–acceptor bridged stilbenes reveals structure–property relationships governing ...
Takuya Tanaka   +8 more
wiley   +1 more source

Automorphisms of the generalized cluster complex

open access: yesThe American Journal of Combinatorics
We exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex.
Matthieu Josuat-Vergès
doaj   +1 more source

On the Spectra of Commuting and Non Commuting Graph on Dihedral Group

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2017
Study about spectra of graph has became interesting work as well as study about commuting and non commuting graph of a group or a ring. But the study about spectra of commuting and non commuting graph of dihedral group has not been done yet.
Abdussakir Abdussakir   +2 more
doaj   +1 more source

Polynomials Associated with Dihedral Groups [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives. This paper presents an explicit form of the action of the intertwining operator on polynomials by use of ...
openaire   +4 more sources

Donor Extended Blue TADF Dendrimer for High‐Performance Solution‐Processed OLEDs

open access: yesAdvanced Science, EarlyView.
A dendronized MR‐TADF emitter, DOBNA‐SpAc‐DCz, was designed to improve solubility, hole transport, and exciton dynamics for solution‐processed OLEDs. Incorporation of ter(tert‐butylcarbazole) dendrons decreases ΔEST and accelerates RISC, yielding short delayed lifetimes (∼2 µs).
Mahni Fatahi   +4 more
wiley   +1 more source

Molecularly Engineered Wing‐Shaped Azobenzene Memristors for Logic‐in‐Memory and Edge Visual Intelligence

open access: yesAdvanced Science, EarlyView.
Rational engineering of terminal substituents in symmetric azobenzene‐based molecules enables precise control over conformationally coupled charge‐transfer processes. This design yields tunable nonvolatile resistive memory behaviors, ranging from write‐once‐read‐many‐times (WORM) to rewritable switching.
Yanze Liu   +11 more
wiley   +1 more source

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