Results 41 to 50 of about 104,175 (189)
Dihedral Group Frames with the Haar Property
We consider a unitary representation of the Dihedral group $D_{2n}% =\mathbb{Z}_{n}\rtimes\mathbb{Z}_{2}$ obtained by inducing the trivial character from the co-normal subgroup $\left\{0\right\}\rtimes\mathbb{Z}_{2}.$ This representation is naturally ...
Oussa, Vignon, Sheehan, Brian
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Polynomials Associated with Dihedral Groups [PDF]
There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives. This paper presents an explicit form of the action of the intertwining operator on polynomials by use of ...
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The $m$-Cover Posets and the Strip-Decomposition of $m$-Dyck Paths [PDF]
In the first part of this article we present a realization of the $m$-Tamari lattice $\mathcal{T}_n^{(m)}$ in terms of $m$-tuples of Dyck paths of height $n$, equipped with componentwise rotation order. For that, we define the $m$-cover poset $\mathcal{P}
Myrto Kallipoliti, Henri Mühle
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Dihedral Gauss hypergeometric functions
Gauss hypergeometric functions with a dihedral monodromy group can be expressed as elementary functions, since their hypergeometric equations can be transformed to Fuchsian equations with cyclic monodromy groups by a quadratic change of the argument ...
Vidunas, Raimundas
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[μ-3,3′-Bis(trihydroboryl)[3]ferrocenophane]bis(chloridozirconocene) [PDF]
The title compound, [FeZr2(C5H5)4Cl2(C13H18B2)], is a heteronuclear complex that consists of a [3]ferrocenophane moiety substituted at each cyclopentadienyl (Cp) ring by a BH3 group; the BH3 group is bonded via two H atoms to the Zr atom of the ...
Bolte, Michael +3 more
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Reductions of integrable equations: dihedral group [PDF]
17 pages, submitted to Journal of Physics A: Mathematical and ...
Lombardo, S., Mikhailov, A. V.
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Units in Z_2(C_2 × D_infinity) [PDF]
In this paper we consider the group algebra R(C_2 ×D_infinity). It is shown that R(C_2 ×D_infinity) can be represented by a 4 × 4 block circulant matrix.
Kanchan Joshi, Pooja Yadav, R. Sharma
doaj
Locally Finite Groups Saturated with Direct Product of Two Finite Dihedral Groups
In the study of infinite groups, as a rule, some finiteness conditions are imposed. For example, the group is required to be periodic, Shunkov group, Frobenius group, locally finite group.
A. V. Kukharev, A.A. Shlepkin
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The Number of Group Homomorphisms from $D_m$ into $D_n$
Counting homomorphisms between cyclic groups is a common exercise in a first course in abstract algebra. A similar problem, accessible at the same level, is to count the number of group homomorphisms from a dihedral group of order $2m$ into a dihedral ...
Gallian J. A., Gallian J. A., Matei D.
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THE BRAUER GROUP OF THE DIHEDRAL GROUP [PDF]
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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