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A (Z)-group is a group faithfully represented as a doubly transitive permutation group in which no non-identity element fixes more than two points. A (ZT)-group is a (Z)-group that is of odd degree and not a Frobenius group , that is a Zassenhaus group of odd degree, also known as one of the groups PSL(2,2 k +1 ) or Sz(2 2 k +1 ) , for k any ...
A specific example of a M-Z bond wherein other L-ligands are present in the complex [7] Both uncharged transition metal complexes and anionic complexes lead to the required adducts with acidic boranes. On the right is a typical reaction of a Z-ligand where the electron deficit BPh 3 adds to the anionic Fe complex.
In mathematics, specifically group theory, the free product is an operation that takes two groups G and H and constructs a new group G ∗ H. The result contains both G and H as subgroups, is generated by the elements of these subgroups, and is the “universal” group having these properties, in the sense that any two homomorphisms from G and H into a group K factor uniquely through a ...
The protecting group is abbreviated Cbz or Z (in honor of discoverer Zervas), hence the alternative shorthand designation for benzyl chloroformate as Cbz-Cl or Z-Cl. Benzyloxycarbonyl is a key protecting group for amines , suppressing the nucleophilic and basic properties of the N lone pair .
The YouTube channel is now one of the most popular chemistry related channels on all of YouTube. [7] The producers of the videos have received praise from Nobel Laureates, chemistry professors, and the general public, says Professor Poliakoff. [5] Chemistry Nobel Laureate Roald Hoffmann has even offered his praise of the videos, stating they ...
Two free groups F S and F T are isomorphic if and only if S and T have the same cardinality. This cardinality is called the rank of the free group F. Thus for every cardinal number k, there is, up to isomorphism, exactly one free group of rank k. A free group of finite rank n > 1 has an exponential growth rate of order 2n − 1. A few other ...
'Lessons in Chemistry,' starring Brie Larson, drops new episodes on Apple TV+ every Friday until the November 24 finale. Here's a look at the release date schedule.
The [BAr F 4] − anion with four fluorinated aryl groups distributed tetrahedrally about a central boron atom. Tetrakis[3,5-bis(trifluoromethyl)phenyl]borate is an anion with chemical formula [{3,5-(CF 3) 2 C 6 H 3} 4 B] −, which is commonly abbreviated as [BAr F 4] −, indicating the presence of fluorinated aryl (Ar F) groups.