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The Neighbourhood of Dihedral 2-Groups
Acta Applicandae Mathematicae, 2005zbMATH 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, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Random Walks on Dihedral Groups
Journal of Theoretical Probability, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetric Words in Dihedral Groups
Algebra Colloquium, 2010Let 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.
2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. DE GIOVANNI, RUSSO, Alessio
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Analysis of Quantum Radar Cross-Section of Dihedral Corner Reflector
IEEE Photonics Technology Letters, 2021Zhifu Tian
exaly
Group Rings of Dihedral Groups
2012In 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., 2017Summary: 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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