Mathematical Sciences: Butler Groups of Infinite Rank

这项研究是关于无限交换群的。特别是，它将集中于一个称为Butler群的无挠阿贝尔群的集合。主要研究人员将利用集合论方法研究这些群的结构和结构。本研究属于交换群论的一般领域。阿贝尔群的当前趋势是利用集合论和逻辑来确定关于结构的问题。数理逻辑进入了这一背景，因为这一学科的学者发现，这一领域的某些研究问题要么是普通集合论中不可判定的，要么需要进一步的集合论公理来解决。这个项目将集中在称为巴特勒群的阿贝尔群的一个子类上。

This research is concerned with infinite abelian groups. In particular, it will focus on a collection of torsion-free abelian groups called Butler groups. The principal investigator will investigate the construction and the structure of these groups by using set theoretic methods. This research is in the general area of abelian group theory. The current trend in abelian groups is to utilize set theory and logic in determining questions on structure. Mathematical logic enters into this context since scholars in this subject have discovered that certain research problems in this area are either undecidable in ordinary set theory or else require further set-theoretic axioms for their resolution. This project will concentrate on a subclass of abelian groups called Butler groups.