Results 71 to 80 of about 9,099,574 (279)
Algebras and Dihedral Defect Groups
Proceedings of the London Mathematical Society, 1987 Let F be an algebraically closed field of characteristic 2, and let G be a finite group. Let B be a block of the group algebra FG with dihedral defect group D of order \(2^ n\). It has been proved by \textit{R. Brauer} [Symp. Math. 13, 367-393 (1974; Zbl 0288.20010)] that B has either 1, 2 or 3 simple modules.
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The Importance of Metal‐Organic Framework Linker Atoms for CO2 Reduction: A DFT Study
Advanced Science, EarlyView.Using DFT, we examine the role of linker atoms in CO2 reduction on copper‐based metal organic frameworks (Cu MOFs). Our calculations reveal that linker atoms may serve as both CO2 and H‐shuttling sites and suggest linker electrostatics as a descriptor for linker activity. ABSTRACT Although the metal within the secondary building unit of a metal‐organic
Ugochukwu Nwosu, Samira Siahrostami
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Bilangan Kromatik Grap Commuting dan Non Commuting Grup Dihedral
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2015 Commuting graph is a graph that has a set of points X and two different vertices to be connected directly if each commutative in G. Let G non abelian group and Z(G) is a center of G.
Handrini Rahayuningtyas +2 more
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Weak automorphisms of dihedral groups [PDF]
Algebra universalis, 2010 Let \(G\) be a group; a bijective map \(\tau\colon G\to G\) is called a weak automorphism of \(G\) if for every \(n\in\mathbb N\), every \(g_1,g_2,\dots,g_n\in G\) and every \(\alpha_1,\alpha_2,\dots,\alpha_n\in\mathbb Z\) there are \(\beta_1,\beta_2,\dots,\beta_n\in\mathbb Z\) such that \[ \tau(g_1^{\alpha_1}\cdot g_2^{\alpha_2}\cdots g_n^{\alpha_n})=\
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Advanced 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
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MathematicsThe HX-groups represent a generalization of the group notion. The Chinese mathematicians Mi Honghai and Li Honxing analyzed this theory. Starting with a group (G,·), they constructed another group (G,∗)⊂P∗(G), where P∗(G) is the set of non-empty subsets ...
Andromeda Pătraşcu Sonea +1 more
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Some properties of Square element graphs over semigroups
AKCE International Journal of Graphs and Combinatorics, 2020 The Square element graph over a semigroup is a simple undirected graph whose vertex set consists precisely of all the non-zero elements of , and two vertices are adjacent if and only if either or belongs to the set , where 1 is the identity of the ...
Bijon Biswas +3 more
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Polynomials Associated with Dihedral Groups [PDF]
Symmetry, 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 ...
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On the group matrices for a generalized dihedral group [PDF]
, 1981 For the generalized dihedral group, an effective method is given to construct a matrix which transforms group matrices to a convenient block-diagonal ...
Wang, Kai
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Advanced Science, EarlyView.Here, we designed the Me‐FBSe molecule and prepared a two‐dimensional molecular crystal via liquid‐liquid interface assembly. The crystal preserves the high photoluminescence quantum while simultaneously ensuring the high‐density surface exposure of active sites.
Shuya Liu +6 more
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