Results 11 to 20 of about 104,175 (189)
Musical Actions of Dihedral Groups [PDF]
The American Mathematical Monthly, 2008 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.
Crans, Alissa S. +2 more
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Darboux transformation with dihedral reduction group [PDF]
Journal of Mathematical Physics, 2014 We construct the Darboux transformation with Dihedral reduction group for the 2-dimensional generalisation of the periodic Volterra lattice. The resulting Bäcklund transformation can be viewed as a nonevolutionary integrable differential difference ...
Alexander V. Mikhailov +8 more
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Generalized dihedral CI-groups
Ars Mathematica Contemporanea, 2022 In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if $R$ is a generalised dihedral group and if $R$ is a CI-group, then for every odd prime $p$ the Sylow $p$-subgroup of $R$ has order $p$, or $9$. Consequently, any CI-group with quotient a generalised dihedral group has the same restriction, that for every odd
Dobson T., Muzychuk M., Spiga P.
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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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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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Free dihedral actions on abelian varieties
Cubo, 2021 We give a simple construction for hyperelliptic varieties, defined as the quotient of a complex torus by the action of a finite group $G$ that contains no translations and acts freely, with $G$ any dihedral group. This generalizes a construction given by
Bruno Aguiló Vidal
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The fuzzy subgroups for the nilpotent ( p-group) of (d23 × c2m) for m ≥ 3 [PDF]
Journal of Fuzzy Extension and Applications, 2022 A group is nilpotent if it has a normal series of a finite length n. By this notion, every finite p-group is nilpotent. The nilpotence property is an hereditary one. Thus, every finite p-group possesses certain remarkable characteristics.
Sunday Adebisi +2 more
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TOPOLOGY INDEX OF THE COPRIME GRAPH FOR DIHEDRAL GROUP OF PRIME POWER ORDER
Jurnal Diferensial, 2023 In the field of molecular chemistry, graph theory is utilized to represent the structure of a molecule, where the set of nodes corresponds to its chemical elements and the set of edges represents the bonds within the chemical molecule.
Marena Rahayu Gayatri +5 more
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Codes in Dihedral Group Algebra
Моделирование и анализ информационных систем, 2018 Robert McEliece developed an asymmetric encryption algorithm based on the use of binary Goppa codes in 1978 and no effective key attacks has been described yet.
Kirill V. Vedenev, Vladimir M. Deundyak
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Non-commuting graph of the dihedral group determined by Hosoya parameters
Alexandria Engineering Journal, 2022 Hosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer ...
Muhammad Salman +4 more
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