Results 81 to 90 of about 105,161 (275)

On schurity of dihedral groups

Journal of Algebra
A finite group $G$ is called a Schur group if every $S$-ring over $G$ is schurian, i.e. associated in a natural way with a subgroup of $Sym(G)$ that contains all right translations. One of the crucial questions in the $S$-ring theory is the question on schurity of nonabelian groups, in particular, on existence of an infinite family of nonabelian Schur ...
openaire   +3 more sources

Toward a Rational Design of Conjugated Copolymers with Oxygenated Side Chains for Boosting Thermoelectric Properties

Advanced Energy Materials, EarlyView.
The molecular design strategy that integrates both side chain and backbone engineering in diketopyrrolopyrrole‐based conjugated polymers to identify the optimal balance between doping efficiency and microstructural order is demonstrated. Comprehensive spectroscopic, electrochemical, morphological, and structural characterizations reveal that the ...
Taewoong Han, Suhui Sim, Hoimin Kim, Taewoong Yoon, Hyungju Ahn, Seungjoo Chang, Namgyu Park, Hajeong Kim, Shabaz Alam, Dongki Lee, Sungjun Park, Sungjoo Lee, Jaewon Lee, Boseok Kang   +13 more
wiley   +1 more source

Cyclo‐Polyproline: Chameleonic All‐Peptide Macrocycles With Induced‐Fit Host‐Guest Recognition

Angewandte Chemie, EarlyView.
Macrocycles served as the genesis of supramolecular chemistry, advancing synthetic, separation, and materials fields. Despite their utility, they typically lack synthetic control. This work establishes a robust platform for all‐peptide macrocycles capable of host‐guest complexation and chameleonic behavior.
Camilla Di Girolamo, Patricia C. Fleming, Caroline R. Kwawu, Amanda R. Guimarães, Jimmy Muldoon, Julia Bruno‐Colmenarez, Yannick Ortin, Michael R. Probert, Felipe Fantuzzi, Aniello Palma   +9 more
wiley   +2 more sources

Words and polynomial invariants of finite groups in non-commutative variables [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
Let $V$ be a complex vector space with basis $\{x_1,x_2,\ldots,x_n\}$ and $G$ be a finite subgroup of $GL(V)$. The tensor algebra $T(V)$ over the complex is isomorphic to the polynomials in the non-commutative variables $x_1, x_2, \ldots, x_n$ with ...
Anouk Bergeron-Brlek, Christophe Hohlweg, Mike Zabrocki   +2 more
doaj   +1 more source

Almost all extraspecial p-groups are Swan groups

, 1999
Let P be an extraspecial p-group which is neither dihedral of order 8, nor of odd order p^3 and exponent p. Let G be a finite group having P as a Sylow p-subgroup.
David John Green, Dieudonné, Evens, Jacobson, Pham Anh Minh   +4 more
core   +1 more source

Hurwitz Equivalence in Dihedral Groups

The Electronic Journal of Combinatorics, 2011
In this paper we determine the orbits of the braid group $B_n$ action on $G^n$ when $G$ is a dihedral group and for any $T \in G^n$. We prove that the following invariants serve as necessary and sufficient conditions for Hurwitz equivalence. They are: the product of its entries, the subgroup generated by its entries, and the number of times each ...
openaire   +2 more sources

Rational Backbone Planarization for Doping‐Resilient Polymeric Hole Transport Materials Toward Stable and Scalable Perovskite Solar Cells

Advanced Energy Materials, EarlyView.
Incorporating divinylbenzene into PTAA‐based copolymers induces backbone planarization and promotes polaron delocalization, leading to enhanced doping resilience and stabilized electronic structure. The resulting hole‐transport material, PDVB14, maintains robust performance under high dopant concentrations and prolonged device operation, offering a ...
Chanhyeok Kim, Seung Un Ryu, Du Hyeon Ryu, Hangyeol Kim, Jeongsu Kim, Dohyun Kim, Junwoo Lee, Kyeong‐Jun Jeong, Chang Eun Song, Sung Yun Son, Minjun Kim   +10 more
wiley   +1 more source

Oxidation State Determines Solvent Structure Around a Manganese–Vanadium Polyoxometalate Water‐Oxidation Catalyst

Angewandte Chemie, EarlyView.
Oxidation state controls microsolvation in the polyoxometalate {MnV}n−$\{{\rm MnV}\}^{n-}$ water‐oxidation catalyst in acetonitrile/water mixtures. The reduced species {MnV}3− attracts a highly structured hydration layer even at low water content, preferentially binding terminal V═O sites and excluding acetonitrile, while oxidized species show weaker ...
Simon Tippner, Moritz Remmers, Sebastian Mai, Boris Mashtakov, Mihail Mondeshki, Carsten Streb, Leticia González   +6 more
wiley   +2 more sources

Automorphisms of the generalized cluster complex

The American Journal of Combinatorics
We exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex.
Matthieu Josuat-Vergès
doaj   +1 more source

Polynomials Associated with Dihedral Groups [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2007
There is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives. This paper presents an explicit form of the action of the intertwining operator on polynomials by use of ...
openaire   +4 more sources