Results 11 to 20 of about 105,161 (275)
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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THE BRAUER GROUP OF THE DIHEDRAL GROUP [PDF]
Glasgow Mathematical Journal, 2004 Let $p^m$ be a power of a prime number $p$, $\mathbb{Dacute;_{p^m}$ be the dihedral group of order $2p^m$ and $k$ be a field where $p$ is invertible and containing a primitive $2p^m$-th root of unity. The aim of this paper is computing the Brauer group $BM(k,\mathbb{D}_{p^m},R_z)$ of the group Hopf algebra of $\mathbb{D}_{p^m}$ with respect to the ...
CARNOVALE, G., CUADRA, J.
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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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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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Darboux transformation with dihedral reduction group [PDF]
, 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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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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THE CYCLIC DECOMPOSITION OF THE FACTOR GROUP CF(Dnh,Z)/R(Dnh) WHEN N IS AN ODD NUMBER
Journal of Kufa for Mathematics and Computer, 2010 For fixed positive integer n³3 ,let Dn be the dihedral group, Dnh= Dn ÏC2 and cf(Dnh,Z) be the abelian group of Z-valued class functions of the group Dnh .The intersection of cf(Dnh,Z) with the group of all generalized characters of Dnh , R(Dnh) is a ...
Hussein Hadi Abbas +1 more
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The extreme vertices of the power graph of a group
Heliyon, 2022 For a fixed finite group G, the power graph of G was defined to be the simple graph Γ(G) whose vertex set V(Γ(G))=G, and edge set E(Γ(G))={xy: either x=yn or y=xn for some integer n}.
Omar A. AbuGhneim, Mohammed Abudayah
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