Results 81 to 90 of about 104,175 (189)
Classification of topological symmetry groups of $K_n$ [PDF]
, 2013 In this paper we complete the classification of topological symmetry groups for complete graphs $K_n$ by characterizing which $K_n$ can have a cyclic group, a dihedral group, or a subgroup of $D_m \times D_m$ where $m$ is odd, as its topological symmetry
Flapan, Erica +3 more
core
The real genus of cyclic by dihedral and dihedral by dihedral groups
Journal of Algebra, 2006 Every finite group acts as an automorphism group of several bordered compact Klein surfaces. The minimal genus of these surfaces is called the real genus. At first, the authors of this paper complete May's discussions about the real genus of groups \(C_m\times D_n\) (where \(C_m\) is a cyclic group).
Etayo Gordejuela, José Javier +1 more
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The Metric Dimension of Algebraic Constructed Graph of Dihedral Group Dn
Scientific Annals of Computer ScienceIn this article, we discusses the concept of metric dimension in graph theory and its applications in various scientific fields. Metric dimension is the minimum number of vertices in a graph that can uniquely identify all other vertices based on their ...
Qammar Rubab, Saba Rao, Muhammad Ishtiaq
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Decorated Nonlinear Flags, Pointed Vortex Loops and the Dihedral Group
Annals of the West University of Timisoara: Mathematics and Computer ScienceWe identify pointed vortex loops in the plane with low dimensional nonlinear flags decorated with volume forms. We show how submanifolds of such decorated nonlinear flags can be identified with coadjoint orbits of the area pre- serving diffeomorphism ...
Ciuclea Ioana
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A survey on projectively equivalent representations of finite groups [PDF]
Surveys in Mathematics and its Applications, 2020 The paper is a survey type article in which we present some results on projectively equivalent representations of finite groups.
Tania Luminiţa Costache
doaj
On schurity of dihedral groups
Journal of AlgebraA finite group $G$ is called a Schur group if every $S$-ring over $G$ is schurian, i.e. associated in a natural way with a subgroup of $Sym(G)$ that contains all right translations. One of the crucial questions in the $S$-ring theory is the question on schurity of nonabelian groups, in particular, on existence of an infinite family of nonabelian Schur ...
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Intertwining Operators Associated with Dihedral Groups [PDF]
Constructive Approximation, 2019 The Fourier analysis associated with reflection groups has attracted considerable attention. The purpose of this paper is to study intertwining operators associated with dihedral groups. The main result gives an integral representation for the intertwining operator on a class of functions. As an application, a closed form formula for the Poisson kernel
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A description of the two-dimensional representations of the dihedral group over the commutative local rings (in Ukrainian) [PDF]
Математичні Студії, 2012 The full description of the two-dimensional representations ofthe dihedral group $D_{m} =leftlangle a,b{m ; }left|a^{m} =1, b^{2} =1, bab^{-1} =a^{-1} ight.
Yu. V. Petechuk
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The conjugation diameters of finite dihedral groups
AIMS MathematicsLet $ G $ be a group. A subset $ S $ of $ G $ is said to normally generate $ G $ if the normal closure of $ S $ in $ G $ is equal to $ G $ itself. This means that every element of $ G $ can be represented as a product of conjugates of elements of $ S ...
Fawaz Aseeri
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Structure of finite dihedral group algebra
Finite Fields and Their Applications, 2015 In this article, we show the relation between the irreducible idempotents of the cyclic group algebra $\mathbb F_qC_n$ and the central irreducible idempotents of the group algebras $\mathbb F_qD_{2n}$, where $\mathbb F_q$ is a finite field with $q$ elements and $D_{2n}$ is the dihedral group of order $2n$, where ${\rm gcd}(q,n)=1$.
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