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The powers P n are normal subgroups of E(p), and the example groups are E(p,n) = E(p)/P n. E(p,n) has order p n+1 and nilpotency class n, so is a p-group of maximal class. When p = 2, E(2,n) is the dihedral group of order 2 n. When p is odd, both W(2) and E(p,p) are irregular groups of maximal class and order p p+1, but are not isomorphic.
Contrary to biology, biochemistry and biomedicine branches, in organic and inorganic chemistry branches, and in the branch of chemical nomenclature (see IUPAC), the correct name for the −P(=O)(−O −) 2 group is not "phosphoryl", but phosphonato, and the correct name for the −P(=O)(−OH) 2 group is phosphono, and the term phosphoryl ...
A prosthetic group is the non-amino acid component that is part of the structure of the heteroproteins or conjugated proteins, being tightly linked to the apoprotein. Not to be confused with the cosubstrate that binds to the enzyme apoenzyme (either a holoprotein or heteroprotein) by non-covalent binding a non-protein (non- amino acid )
The P-type ATPases, also known as E 1-E 2 ATPases, are a large group of evolutionarily related ion and lipid pumps that are found in bacteria, archaea, and eukaryotes. [1] P-type ATPases are α-helical bundle primary transporters named based upon their ability to catalyze auto- (or self-) phosphorylation (hence P) of a key conserved aspartate residue within the pump and their energy source ...
A classic example of an equivalence group is the vulva precursor cells (VPCs) of nematodes. In Caenorhabditis elegans self-fertilized eggs exit the body through the vulva. This organ develops from a subset of cell of an equivalence group consisting of six VPCs, P3.p-P8.p, which lie ventrally along the anterior-posterior axis. [5]
Another characterization is that a finite p-group in which there is a unique subgroup of order p is either cyclic or a 2-group isomorphic to generalized quaternion group. [13] In particular, for a finite field F with odd characteristic, the 2-Sylow subgroup of SL 2 ( F ) is non-abelian and has only one subgroup of order 2, so this 2-Sylow ...
Substance P (SP) is an undecapeptide (a peptide composed of a chain of 11 amino acid residues) [1] and a type of neuropeptide, belonging to the tachykinin family of neuropeptides. It acts as a neurotransmitter and a neuromodulator .
A finite p-group G is said to be regular if any of the following equivalent (Hall 1959, Ch. 12.4), (Huppert 1967, Kap.III §10) conditions are satisfied: For every a, b in G, there is a c in the derived subgroup H ′ of the subgroup H of G generated by a and b, such that a p · b p = (ab) p · c p.