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The Neighbourhood of Dihedral 2-Groups

Acta Applicandae Mathematicae, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bálek, Martin   +2 more
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On the fixing sets of dihedral groups

Discrete Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Random Walks on Dihedral Groups

Journal of Theoretical Probability, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetric Words in Dihedral Groups

Algebra Colloquium, 2010
Let G be a group and let w = w(x1, x2,…, xn) be a word in the absolutely free group Fnon free variables x1, x2,…, xn. The set S(n)(G) of all words w such that the equality w(gσ1, gσ2,…, gσn) = w(g1, g2,…, gn) holds for all g1, g2,…, gn∈G and all permutations σ ∈ Snis a subgroup of Fn, called the subgroup of n-symmetric words for G.
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The infinite dihedral group as automorphism group.

2002
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F. DE GIOVANNI, RUSSO, Alessio
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The Dihedral Groups

2023
Jonathan K. Hodge   +2 more
openaire   +1 more source

Dihedral groups

2010
Robert Bruner, J. Greenlees
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Analysis of Quantum Radar Cross-Section of Dihedral Corner Reflector

IEEE Photonics Technology Letters, 2021
Zhifu Tian
exaly  

Group Rings of Dihedral Groups

2012
In this chapter we continue the study of stably free cancellation over the integral group rings Z[F n ×Φ] in the case where Φ is the dihedral group of order 2m defined by the presentation $$D_{2m} = \langle x, y \vert x^m = y^2 = 1 , yx = x^{m-1}y \rangle.$$ Our main result, first proved in Johnson (Q. J. Math., 2011, doi: 10.1093/qmath/har006),
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Bases in dihedral and Boolean groups

J. Integer Seq., 2017
Summary: A subset \(B\) of a group \(G\) is called a \textit{basis} of \(G\) if \(G = B^{2}\). The smallest cardinality of a basis of \(G\) is called the \textit{basis size} of \(G\). We prove upper bounds for basis sizes of dihedral and Boolean groups. We find a lower bound for the basis size of a Boolean group.
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