Results 11 to 20 of about 87,109 (183)
Springer Correspondences for Dihedral Groups [PDF]
Transformation Groups, 2008 Recent work by a number of people has shown that complex reflection groups give rise to many representation-theoretic structures (e.g., generic degrees and families of characters), as though they were Weyl groups of algebraic groups. Conjecturally, these structures are actually describing the representation theory of as-yet undescribed objects called ''
Achar, P. N., Aubert, A.-M.
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Limits of dihedral groups [PDF]
Geometriae Dedicata, 2009 We give a characterization of limits of dihedral groups in the space of finitely generated marked groups. We also describe the topological closure of dihedral groups in the space of marked groups on a fixed number of generators.
Guyot, Luc
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Musical Actions of Dihedral Groups [PDF]
The American Mathematical Monthly, 2009 The sequence of pitches which form a musical melody can be transposed or inverted. Since the 1970s, music theorists have modeled musical transposition and inversion in terms of an action of the dihedral group of order 24. More recently music theorists have found an intriguing second way that the dihedral group of order 24 acts on the set of major and ...
Crans, Alissa, S. +2 more
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Polytopes associated to dihedral groups [PDF]
Ars Mathematica Contemporanea, 2013 In this note we investigate the convex hull of those $n \times n$-permutation matrices that correspond to symmetries of a regular $n$-gon. We give the complete facet description. As an application, we show that this yields a Gorenstein polytope, and we determine the Ehrhart $h^*$-vector.
Baumeister, Barbara +3 more
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Dimethyl 2,2′-dinitrobiphenyl-4,4′-dicarboxylate [PDF]
Acta Crystallographica Section E, 2014 The title compound, C16H12N2O8, exhibits two near-planar aromatic ester groups with aryl–ester dihedral angles of 2.1 (2) and 4.2 (3)°. The dihedral angle between the aromatic rings is 58.0 (1)°. The two nitro groups are tilted slightly from the plane of
Ryan L. Lehane +3 more
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A Way to Construct Commutative Hyperstructures
Computer Sciences & Mathematics Forum, 2023 This article aims to create commutative hyperstructures, starting with a non-commutative group. Therefore, we consider the starting group to be the dihedral group Dn, where n is a natural number, n>1, and we determine the HX groups associated with the ...
Andromeda Sonea
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ON THE GIRTH, INDEPENDENCE NUMBER, AND WIENER INDEX OF COPRIME GRAPH OF DIHEDRAL GROUP
Barekeng, 2023 The coprime graph of a finite group , denoted by , is a graph with vertex set such that two distinct vertices and are adjacent if and only if their orders are coprime, i.e., where |x| is the order of x.
Agista Surya Bawana +2 more
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Efficient Domination in Cayley Graphs of Generalized Dihedral Groups
Discussiones Mathematicae Graph Theory, 2022 An independent subset D of the vertex set V of the graph Γ is an efficient dominating set for Γ if each vertex v ∈ V \ D has precisely one neighbour in D. In this article, we classify the connected cubic Cayley graphs on generalized dihedral groups which
Caliskan Cafer +3 more
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Generalized Commuting Graph of Dihedral, Semi-dihedral and Quasi-dihedral Groups [PDF]
Malaysian Journal of Fundamental and Applied Sciences, 2021 Commuting graphs are characterized by vertices that are non-central elements of a group where two vertices are adjacent when they commute. In this paper, the concept of commuting graph is extended by defining the generalized commuting graph. Furthermore, the generalized commuting graph of the dihedral groups, the quasi-dihedral groups and the semi ...
Mustafa Anis El-Sanfaz +2 more
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Algebraic constructions of group divisible designs
Examples and Counterexamples, 2023 Some series of Group divisible designs using generalized Bhaskar Rao designs over Dihedral, Symmetric and Alternating groups are obtained.
Shyam Saurabh, Kishore Sinha
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