Analogous to *-identities in rings with involution we define *-identities in groups. Suppose that G is a torsion group with involution * and that F is an infinite field with char F ≠ 2. Extend * linearly to FG. We prove that the unit group U{\mathcal{U}} of FG satisfies a *-identity if and only if the symmetric elements U+{\mathcal{U}^+} satisfy a group identity. 相似文献
We give a construction of semi-regular divisible difference sets with parametersm = p2a(r–1)+2b (pr – 1)/(p – 1), n = pr, k = p(2a+1)(r–1)+2b (pr – 1)/(p – 1)1 = p(2a+1)(r–1)+2b (pr–1 – 1)/(p-1), 2 = p2(a+1)(r–1)–r+2b (pr – 1)/(p – 1)where p is a prime and r a + 1. 相似文献
Combinatorial gradient techniques are used to map the morphology dependence of thin symmetric diblock copolymer films on film thickness and substrate surface energy. An inversion from symmetric to anti‐symmetric lamellar morphology occurs with a progressive change in surface energy. An intermediate neutral region is found between these limiting types of ordering. The width ω of this transitional energy range scales as a power of copolymer mass M, ω∝M1.9.
Optical photograph of a combinatorial map of the thin‐film block‐copolymer morphology on a film thickness and surface energy gradient. Island and holes on the surface scatter light causing the film to appear cloudy (lighter in color) in the areas where they exist. The darker areas do not have surface features and do not scatter light. 相似文献
The viscosity of cesium chloride, bromide, and iodide, rubidium nitrate and rubidium iodide in diethyleneglycol, and aqueous diethyleneglycol (20% by weight) at 25°C and at concentrations varying from 0.01 to 0.1M are reported. The results are interpreted in terms of the structure-making/structure-breaking capacity of the electrolyte by estimating theB coefficient of the Jones-Dole equation. 相似文献
