环上线性群的子群结构

本文主要讨论欧氏整环上线性群一类子群的结构,并获得其一类极大子群,     

Synthetic receptors for selectively detecting erythrocyte ABO subgroups

Surface imprinting techniques with erythrocytes as templates yield polymer coatings with selective recognition sites towards red blood cells. The resulting cavities in the respective surface exhibit selectivity between blood subgroups as shown by Quartz Crystal Microbalance (QCM) measurements. Mass sensitive effects in the kilohertz range could be observed for concentrations down to 0.5 × 10⁸ cells/mL. Frequency response as well as recovery of the sensor took place within a few minutes, indicating that no covalent binding is involved. Linear concentration dependence over a defined region provides ideal conditions for cross selectivity measurements. A₁ imprinted sensor coatings resulted in an effect of 40 kHz when exposed to the template blood group, while A₂ erythrocytes yielded just 11% of that value on the same layer. Furthermore, A₂ imprinted coatings incorporated only one third the amount of A₁ erythrocytes as compared to A₂ ones. Therefore, imprinted materials depict the entire cell surface and utilize it for recognition, whereas natural antibodies bind on the defined antigen position and thus usually cannot distinguish between cells carrying different amounts of them.     

On sse-embedded subgroups of finite groups

Abstract

In this paper, we introduce the concept of sse-embedded subgroups of finite groups and present some new characterizations of solubility of finite groups using the sse-embedding property of subgroups. Furthermore, we discuss the sse-embedded subgroups in finite nonabelian simple groups. Some previously known results are generalized and unified.