Results 101 to 110 of about 105,161 (275)
Sequencing the dihedral groups D4k
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Decorated Nonlinear Flags, Pointed Vortex Loops and the Dihedral Group
We identify pointed vortex loops in the plane with low dimensional nonlinear flags decorated with volume forms. We show how submanifolds of such decorated nonlinear flags can be identified with coadjoint orbits of the area pre- serving diffeomorphism ...
Ciuclea Ioana
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Chromaticity of Normal Graphs and Cyclic Graphs
In our work, we will find new results about the chromaticity of Normal graphs and Cyclic Graphs of Dihedral group 𝐷2𝑛, (𝐺𝑁𝑜𝑟𝐷2𝑛 and 𝐺𝐶𝑦𝑐𝐷2𝑛, respectively).
Abdullah AbdulRazzaq Obaid +1 more
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Projective planes and dihedral groups
Let \(q\) be a prime power and \(P\) the projective plane of order \(q^2\), \(B_0\), \(B_1\) two disjoint Baer subplanes of \(P\), \(\tau_0\), \(\tau_1\) the corresponding Baer involutions, \(\delta =\tau_0 \tau_1\). The author's main result is the following (a) \(\delta\) is a fixed point free projective collineation whose order \(r\) divides \(q^2- q+
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On the class groups of dihedral groups
Let A be a Z-order in a semisimple Q-algebra -4. Let C(A) denote the class group of A defined by using locally free left A-modules. Define D(d) to be the kernel of the natural map C(A) + C(Q) for Q a maximal Z-order in A containing A and d(A) to be the order of D(d).
Endo, Shizuo, Miyata, Takehiko
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The Metric Dimension of Algebraic Constructed Graph of Dihedral Group Dn
In this article, we discusses the concept of metric dimension in graph theory and its applications in various scientific fields. Metric dimension is the minimum number of vertices in a graph that can uniquely identify all other vertices based on their ...
Qammar Rubab, Saba Rao, Muhammad Ishtiaq
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A survey on projectively equivalent representations of finite groups [PDF]
The paper is a survey type article in which we present some results on projectively equivalent representations of finite groups.
Tania Luminiţa Costache
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Controlling the Guanidinium Cation Rotation by Cation–π Interactions
A lanthanide π‐container has been employed to trap a guanidinium cation inside the aromatic cavity by cation–π interactions. X‐ray crystallography and solid‐state nuclear magnetic resonance (NMR) spectroscopy at fast magic‐angle spinning (MAS) frequencies have been utilized to probe the underlying host–guest interactions.
Hannah Busch +12 more
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A description of the two-dimensional representations of the dihedral group over the commutative local rings (in Ukrainian) [PDF]
The full description of the two-dimensional representations ofthe dihedral group $D_{m} =leftlangle a,b{m ; }left|a^{m} =1, b^{2} =1, bab^{-1} =a^{-1} ight.
Yu. V. Petechuk
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Smooth skew morphisms of the dihedral groups
A skew-morphism $φ$ of a finite group $A$ is a permutation on $A$ such that $φ(1)=1$ and $φ(xy)=φ(x)φ^{π(x)}(y)$ for all $x,y\in A$ where $π:A\to\mathbb{Z}_{|φ|}$ is an integer function. A skew-morphism is smooth if $π(φ(x))=π(x)$ for all $x\in A$. The concept of smooth skew-morphisms is a generalization of that of $t$-balanced skew-morphisms.
Na-Er Wang +3 more
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