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Sequencing certain dihedral groups
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.
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Let $K$ be any field and $G$ be a finite group. Let $G$ act on the rational function field $K(x_g: \ g \in G)$ by $K$-automorphisms defined by $g \cdot x_h=x_{gh}$ for any $g, \ h \in G$. Denote by $K(G)$ the fixed field $K(x_g: \ g \in G)^G$. Noether's problem asks whether $K(G)$ is rational (=purely transcendental) over $K$.
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When Dihedral Angles Mask Denticity in Molecular Conductance. [PDF]
Batzinger K +8 more
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Role of Central Arene Rotators and Ag<sup><b>+</b></sup>, I<sup><b>+</b></sup>, and PdCl<sub>2</sub> Centers in Hexagonal Macrocycles as Molecular Rotors. [PDF]
Litts NP +9 more
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Mapping Allosteric Communication in the Nucleosome with Conditional Activity. [PDF]
Onyema AC +4 more
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The importance of counterion association in the calculated binding constants of Ca<sup>2+</sup>-aminopolycarboxylate complexes. [PDF]
Heshmat M +3 more
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Reformulation of the protein databank for real-time search of geometrical attributes of protein structures. [PDF]
Azeem M +4 more
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Rewiring Receptor Activation: Mechanistic Insights into Toggle Switch Modulation by 25CN-NBx Compounds. [PDF]
Palmisano VF +2 more
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