dihedral groups
The generalized dihedral groups \(Dih(\mathbb{Z}^n)\) as groups generated by time-varying automata
... generalized dihedral groups, in the sense that if a group G has a subgroup N of index 2 such that all elements of the complement G − N are of order two, then N is abelian and G ≃ Dih(N ...
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Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
... We consider cases when the base group or the extending group is a direct product. We present a general result which allows to characterize some semidirect decompositions in the case when the base group is a direct ...
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Dihedral groups and G Hilbert schemes
... Quotient surface singularities were originally classified by Brieskorn in [Bri68] (see also [Rie77]). His construction starts by considering a finite subgroup G ⊂ SL(2, C) and then uses the surjective group homomorphism ...
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The squared Commutativity degree of dihedral groups
... The commutativity degree of a finite group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity ...
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Calculations of Dihedral Groups Using Circular Indexation
... a dihedral group [2, 8]. Dihedral groups have applications in different ...samples. Dihedral groups can be applied to image processing and pattern recognition [3, ...[9], ...
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On the Cycle Indices of the Cyclic and Dihedral Groups Acting on the Cartesian Product Of X
... The concept of cycle index of various group actions has been studied by a number of authors since inception of the concept by Howard Redfield. However we observe that the cycle index of cyclic group acting on Cartesian ...
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Hamiltonian Cayley Digraphs on Direct Products of Dihedral Groups
... Since Cayley digraphs are vertextransitive, any cyclic shift of a Hamiltonian arc sequence of a Cayley digraph is also a Hamiltonian arc sequence of the digraph, and traversing a Hamilto[r] ...
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Difference bases in dihedral groups
... Abstract. A subset B of a group G is called a difference basis of G if each element g ∈ G can be written as the difference g = ab −1 of some elements a, b ∈ B. The smallest cardinality | B | of a difference basis B ⊂ G is ...
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On the Conjugacy Classes, Centers and Representation of the Groups Sn and Dn and the subgroups of the Dihedral group Dn.
... Permutation groups and matrix groups are special cases of transformation groups; group that act on a certain space X preserving its inherent ...permutation groups, X is a ...Transformation ...
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Generalized commutativity degrees of some finite groups and their related graphs
... commutativity degree was later extended to the relative n-th commutativity degree by Erfanian et al. [10]. In this research, there are some extensions of the concept of commutativity degree. Firstly, the n-th power ...
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Z-D Brane Box Models and Non-Chiral Dihedral Quivers
... nodes corresponding to the 1-dimensionals are joined, as well as the existence of self-joined nodes. This is of course almost what one would expect from an N = 2 theory obtained from the binary dihedral group as a ...
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Generation problems for finite groups
... of groups that do and do not have property B we sought to high- light how rare groups with property B ...of dihedral groups, showing that all dihedral groups of order 2p n have ...
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Irreducible representations of some finite groups and galois stability of integral representations
... of dihedral groups are of great interest to many researchers since many years before until ...of dihedral groups have been ...some dihedral groups in ...generalized ...
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The Power of Group Generators and Relations: An Examination of the Concept and Its Applications
... presenting groups by generators and relations from an original ...free groups, such as Dyck ’ s Theorem , are ...finite groups of a fixed order, representing all dihedral groups ...
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The precise value of commutativity degree in some finite groups
... In this paper we focus on some metacyclic 2-groups of class at least 3. Our basic goal is to compute the exact value of commutativity degree of the generalized quaternion groups, dihedral ...
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Imidazolium 2 chloro 4 nitrobenzoate
... carboxyl groups around the CÐN and CÐC bond axes, ...these groups is hindered by intermolecular interactions and hence the dihedral angles of these groups with respect to the benzene ring may ...
8
[2,7 Dibutoxy 8 (4 fluorobenzoyl)naphthalen 1 yl](4 fluorophenyl)methanone
... Geometry . All e.s.d.'s (except the e.s.d. in the dihedral angle between two l.s. planes) are estimated using the full covariance matrix. The cell e.s.d.'s are taken into account individually in the estimation of ...
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Conformations of Organophosphine Oxides Nuwan De Silva, Federico Zahariev, Benjamin P. Hay, Mark S. Gordon, and Theresa L. Windus
... minimum con fi gurations, in other words, trans (180 ° ) and gauche ( ± 60 ° ) rotamers with transition states located near 0 ° and ± 120 ° . Methyl rotation in 1 (Figure 2) and tert-butyl rotation in 4 (Figure 5) yield ...
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r 1,t 3 Bis[4 (dimethylamino)phenyl] c 2,t 4 bis(pyridin 4 yl)cyclobutane
... average dihedral angles of the cyclobutane rings are ...a dihedral angle of 30° (Zhuang & Zheng, ...aryl groups of 2A adopt the all trans conformation, the dihedral angle of the ...
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Relation Embedding with Dihedral Group in Knowledge Graph
... model DihEdral to represent relations with fully expres- ...parametrize DihEdral and reveal that both ap- proaches outperform existing bilinear form meth- ...
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