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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 ...
Taking star polymers as an example, RAFT differs from other forms of living radical polymerization techniques in that either the R- or Z-group may form the core of the star (See Figure 10). While utilizing the R-group as the core results in similar structures found using ATRP or NMP, the ability to use the Z-group as the core makes RAFT unique.
Each group is named by Small Groups library as G o i, where o is the order of the group, and i is the index used to label the group within that order.. Common group names: Z n: the cyclic group of order n (the notation C n is also used; it is isomorphic to the additive group of Z/nZ)
For example, if G is any group, then there exists an automorphism σ of G × G that switches the two factors, i.e. σ(g 1, g 2) = (g 2, g 1). For another example, the automorphism group of Z × Z is GL(2, Z), the group of all 2 × 2 matrices with integer entries and determinant, ±1. This automorphism group is infinite, but only finitely many ...
Example of a Markush structure. A Markush structure, Markush group, or a Markush claim is a representation of alternatively useable members. Markush structures are frequently used with chemical structures to indicate a group of related chemical compounds. They are commonly used in chemistry texts and in patent claims.
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.
Periodic Videos (also known as The Periodic Table of Videos) is a video project and YouTube channel on chemistry. It consists of a series of videos about chemical elements and the periodic table , with additional videos on other topics in chemistry and related fields.
The endomorphism ring of the abelian group Z/nZ is isomorphic to Z/nZ itself as a ring. [18] Under this isomorphism, the number r corresponds to the endomorphism of Z/nZ that maps each element to the sum of r copies of it. This is a bijection if and only if r is coprime with n, so the automorphism group of Z/nZ is isomorphic to the unit group ...