Results 11 to 20 of about 5,444,235 (274)
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, Luc Guyot
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The real genus of cyclic by dihedral and dihedral by dihedral groups [PDF]
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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Near-factorizations of dihedral groups [PDF]
Designs, Codes and CryptographyWe investigate near-factorizations of nonabelian groups, concentrating on dihedral groups. We show that some known constructions of near-factorizations in dihedral groups yield equivalent near-factorizations. In fact, there are very few known examples of nonequivalent near-factorizations in dihedral or other nonabelian groups; we provide some new ...
Donald L. Kreher +2 more
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The connective K theory of semidihedral groups [PDF]
, 2010 The real connective K-homology of finite groups ko¤(BG), plays a big role in the Gromov-Lawson-Rosenberg (GLR) conjecture. In order to compute them, we can calculate complex connective K-cohomology, ku¤(BG), first and then follow by computing complex ...
Rodtes, Kijti
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Sequencing certain dihedral groups [PDF]
Discrete Mathematics, 1990 A sequencing of a finite group is an ordering of its elements such that the partial products of its nonempty initial segments exhaust all group elements (without repetition). It is shown that at least three-fourths of the dihedral groups are sequenceable.
Isbell, John, John Isbell
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Calculations of Dihedral Groups Using Circular Indexation [PDF]
Mathematics Interdisciplinary Research, 2019 In this work, a regular polygon with n sides is described by a periodic (circular) sequence with period n. Each element of the sequence represents a vertex of the polygon.
Reza Dianat, Mojgan Mogharrab
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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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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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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 ...
Alissa S. Crans +2 more
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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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