Results 41 to 50 of about 254,436 (287)
Carter and Gaschütz theories beyond soluble groups
RACSAM, 2022 Classical results from the theory of finite soluble groups state that Carter subgroups, i.e. self-normalizing nilpotent subgroups, coincide with nilpotent projectors and with nilpotent covering subgroups, and they form a non-empty conjugacy class of ...
M. Arroyo-Jordá +4 more
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Properties of groups with points [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2009 In this paper, we consider groups with points which were introduced by V.P. Shunkov in 1990. In Novikov-Adian's group, Adian's periodic products of finite groups without involutions and Olshansky's periodic monsters every non-unit element is a point ...
V.I. Senashov, E.N. Takovleva
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Soluble Groups with Finite Wielandt length [PDF]
Glasgow Mathematical Journal, 1989 The Wielandt subgroup ω(G) of a group G is defined to be the intersection of all normalizers of subnormal subgroups of G; the terms of the Wielandt series of G are defined, inductively, by putting ω0(G) = 1 and (ωn+1(G)/ωn(G) = ω(G/ωn(G)). If, for some integer n, ωn(G) = G, then G is said to have finite Wielandt length; the Wielandt length of G being ...
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Light‐Controlled Reversible Coassembly of Hybrid Functional Nanostructures
Advanced Functional Materials, EarlyView.Light‐responsive hybrid nanostructures are formed by coassembling azobenzene‐ and PAH‐functionalized nanoparticles through reversible an tunable π interactions. The system enables tunable coupling between distinct components such as gold and magnetite or carbon nanotubes, producing switchable optical and magnetic properties under light and magnetic ...
Michal Sawczyk +5 more
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The Effect of Amino Acids on the Formation of Amorphous Calcium Carbonate Nanoparticles
Advanced Functional Materials, EarlyView.Biomineral formation often proceeds via the assembly of amorphous calcium carbonate (ACC) nanoparticles with narrow size distributions. Using in situ SAXS coupled to a stopped‐flow device, we follow synthetic ACC formation with a 10 ms time resolution and show that amino acids narrow the size distribution at low supersaturation, highlighting their key ...
Lucas Kuhrts +10 more
wiley +1 more source
Advanced Functional Materials, EarlyView.In this study, the preparation techniques for silver‐based gas diffusion electrodes used for the electrochemical reduction of carbon dioxide (eCO2R) are systematically reviewed and compared with respect to their scalability. In addition, physics‐based and data‐driven modeling approaches are discussed, and a perspective is given on how modeling can aid ...
Simon Emken +6 more
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High Entropy Wide‐Bandgap Borates with Broadband Luminescence and Large Nonlinear Optical properties
Advanced Functional Materials, EarlyView.High‐entropy rare‐earth borates exhibit excellent nonlinear optical and broadband luminescence properties arising from multi‐component doping, chemical disorder, increased configurational entropy, and increased lattice and electronic anharmonicity. This formulation enabled us to obtain a large, environmentally stable single crystal with 3X higher laser‐
Saugata Sarker +14 more
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Bio‐Inspired Molecular Events in Poly(Ionic Liquids)
Advanced Functional Materials, EarlyView.Originating from dipolar and polar inter‐ and intra‐chain interactions of the building blocks, the topologies and morphologies of poly(ionic liquids) (PIL) govern their nano‐ and micro‐processibility. Modulating the interactions of cation‐anion pairs with aliphatic dipolar components enables the tunability of properties, facilitated by “bottom‐up ...
Jiahui Liu, Marek W. Urban
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On $$\sigma $$-Solubility Criteria for Finite Groups
Communications in Mathematics and Statistics, 2023 AbstractIn this paper, the structure of finite groups in which maximal subgroups of some Sylow subgroups have a $$\sigma $$ σ -soluble or $$\sigma $$ σ -nilpotent supplement, where $$\sigma $$ σ is a partition of the set of all prime numbers, is ...
A. Ballester-Bolinches +3 more
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The connectivity of the normalizing and permuting graph of a finite soluble group
Communications in AlgebraWe introduce the normalizing graph of a group and study the connectivity of the normalizing and permuting graphs of a group when the group is finite and soluble. In particular, we classify finite soluble groups with disconnected normalizing graph.
Eoghan Farrell, Chris Parker
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