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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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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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Local Propensities and Statistical Potentials of Backbone Dihedral Angles in Proteins
Journal of Molecular Biology, 2004Jeffrey Skolnick
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Butane dihedral angle dynamics in water is dominated by internal friction
Proceedings of the National Academy of Sciences of the United States of America, 2018Jan O Daldrop +2 more
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Dihedral ‘star’ tensegrity structures
International Journal of Solids and Structures, 2010Jingyao Zhang +2 more
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Resistance distance and Kirchhoff index in dihedral Cayley graphs
Discrete Applied Mathematics, 2022exaly