Let S(RG) be a normed Sylow p-subgroup in a group ring RG of an abelian group G with p-component Gp and a p-basic subgroup B over a commutative unitary ring R with prime characteristic p. The first central result is that 1 + I(RG;Bp) + I(R(p)G;G) is basic in S(RG) and B[1 + I(RG;Bp) + I(R(p )G;G)] is p-basic in V (RG), and [1 + I(RG;Bp) + I(R(p )G;G)]Gp/Gp is basic in S(RG)/Gp and [1 + I(RG;Bp)...

High resolution spectra of (CO2)2-Rg trimers (Rg = Ne, Ar, Kr, and Xe) in the region CO2 ν3 fundamental (≈2350 cm−1) are reported, using a tunable OPO laser source to probe pulsed supersonic slit jet expansion. These transitions tend be hidden among stronger due other species, such as CO2-Rg (CO2)2. Each trimer consists (CO2)2 unit which is similar free carbon dioxide dimer (planar parallel sta...

Dimerization of rhamnogalacturonan-II (RG-II) via boron cross-links contributes to the assembly and biophysical properties of the cell wall. Pure RG-II is efficiently dimerized by boric acid (B(OH)3 ) in vitro only if nonbiological agents for example Pb(2+) are added. By contrast, newly synthesized RG-II domains dimerize very rapidly in vivo. We investigated biological agents that might enable ...

The discovery of roles for arginine methylation in intracellular transport and mRNA splicing has focused attention on the methylated arginine-glycine (RG)-rich domains found in many eukaryotic RNA-binding proteins. Sequence similarity among these highly repetitive RG domains, combined with interactions between RG-rich proteins, raises the question of whether these regions are general interactio...

We outline the steps in a derivation of the statement that the SU(2) gauge theory is in a confining phase for all values of the coupling, 0 < β < ∞, defined at lattice spacing a. The approach employed is to obtain both upper and lower bounds for the partition function and the ‘twisted’ partition function in terms of approximate decimation transformations. The behavior of the exact quantities is...

Chiral symmetry breaking in a purely fermionic theory is investigated by the help of the renormalization group method. The RG equation for the running mass m k admits a solution with vanishing bare mass and finite physical mass. The running Fermi coupling constant, G k , converges to a finite (renormalized) physical value. It is also shown that the RG equation for˜G, the dimensionless Fermi cou...

To better understand the role of radial glial (RG) cells in the evolution of the mammalian cerebral cortex, we investigated the role of RG cells in the dorsal cortex and dorsal ventricular ridge of the turtle, Trachemys scripta elegans. Unlike mammals, the glial architecture of adult reptile consists mainly of ependymoradial glia, which share features with mammalian RG cells, and which may cont...