Results 71 to 80 of about 105,161 (275)
Virtually free finite-normal-subgroup-free groups are strongly verbally closed
, 2018 Any virtually free group $H$ containing no non-trivial finite normal subgroup (e.g., the infinite dihedral group) is a retract of any finitely generated group containing $H$ as a verbally closed subgroup.Comment: 6 pages. V2: minor corrections.
Klyachko, Anton A. +2 more
core +1 more source
Codes in a Dihedral Group Algebra
Automatic Control and Computer Sciences, 2019 In 1978, Robert McEliece constructed the first asymmetric code-based cryptosystem using noise-immune Goppa codes; no effective key attacks has been described for it yet. By now, quite a lot of code-based cryptosystems are known; however, their cryptographic security is inferior to that of the classical McEliece cryptosystem.
K. V. Vedenev, Vladimir M. Deundyak
openaire +2 more sources
Advanced Science, EarlyView.A phosphorescent dye was designed to fit in a hand‐to‐glove fashion into the 1D‐pore channels of MIL‐68(In). We synthesized MIL‐68(In) as powder and thin films, loaded the dye into the pores with controlled packing, and found that the phosphorescence and quantum yield are enhanced.
Bahram Hosseini Monjezi +12 more
wiley +1 more source
Angewandte Chemie, EarlyView.This work details the rapid generation (t ≤ 5 min) of size‐tunable, ultralow dispersity (Ð ≤ 1.01) 2D hexagonal nanosheets by self‐limiting polymerization‐induced crystallization‐driven self‐assembly (SL‐PI‐CDSA) of modular and templating poly(aryl isocyanide) block copolymers, with functions that permit post‐polymerization modifications. Specifically,
Randall A. Scanga +13 more
wiley +2 more sources
Dihedral Group Frames which are Maximally Robust to Erasures [PDF]
, 2014 Let $n$ be a natural number larger than two. Let $D_{2n}=\langle r,s : r^{n}=s^{2}=e, srs=r^{n-1} \rangle$ be the Dihedral group, and $\kappa $ an $n$-dimensional unitary representation of $D_{2n}$ acting in $\mathbb{C}^n$ as follows. $(\kappa (r)v)(j)=v(
Oussa, Vignon
core +1 more source
Atomic Interlayer Mo–N4 Sites Enable Rapid Charge Transfer and Efficient CO2 Photoreduction
Advanced Science, EarlyView.This work achieved efficient CO2 activation and ultrafast interlayer electron transport in a 2D COF by constructing atomic‐level Mo‐N4‐induced interlayer electron bridges (IEB), thereby kinetically and thermodynamically co‐driving the photocatalytic coupling of CO2 reduction with 4‐methoxybenzyl alcohol oxidation.
Lijuan Sun +9 more
wiley +1 more source
Advanced Science, EarlyView.A stimuli‐responsive supramolecular system has been rationally designed enabling hierarchical control over supramolecular handedness. This hybrid architecture retains orthogonal host‐guest properties and displays unique amphiphilicity‐directed chiral self‐assembly.
Minzan Zuo +8 more
wiley +1 more source
Reduced Symmetry Metal–Organic Cage‐to‐Framework Materials
Angewandte Chemie, EarlyView.A series of Ag(I) MOFs was synthesised from organic cages of varying structure and symmetry as linkers. Minor variations in the cage linkers were shown to significantly influence the structures of the resulting MOFs. This work represents the first incorporation of reduced symmetry (including chiral), intrinsically porous building blocks into MOFs, and ...
Cameron J. T. Cox +5 more
wiley +2 more sources
MathematicsThe HX-groups represent a generalization of the group notion. The Chinese mathematicians Mi Honghai and Li Honxing analyzed this theory. Starting with a group (G,·), they constructed another group (G,∗)⊂P∗(G), where P∗(G) is the set of non-empty subsets ...
Andromeda Pătraşcu Sonea +1 more
doaj +1 more source
On the Spectra of Commuting and Non Commuting Graph on Dihedral Group
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2017 Study about spectra of graph has became interesting work as well as study about commuting and non commuting graph of a group or a ring. But the study about spectra of commuting and non commuting graph of dihedral group has not been done yet.
Abdussakir Abdussakir +2 more
doaj +1 more source