Mathematical Sciences: Automorphisms of Free Groups

该奖项是对沃格特曼在DMS-8702070下的研究提供的支持，K.S.布朗是首席研究员。这将使她能够参加1989年春天在加利福尼亚州伯克利的数学科学研究所学习组合群论的特殊年份。一般的研究领域是群论中的拓扑和几何方法。具体问题涉及有限生成自由群的外自同构群及其相关群的各个子群。我们的想法是将算术群研究中使用的非常漂亮和强大的技术应用到这些群的研究中。一个基本的工具是自由群的外自同构群在可压缩空间上的作用，这一作用是由主要研究者和Marc Culler开发的。

This award supplements support provided for Vogtmann's research under DMS-8702070 with K. S. Brown as principal investigator. It will enable her to take part in the special year in combinatorial group theory at the Mathematical Sciences Research Institute, Berkeley, California, during the spring of 1989. The general area of research is in topological and geometric methods in group theory. The specific problems concern various subgroups of the group of outer automorphisms of a finitely generated free group, and related groups. The idea is to adapt the very beautiful and powerful techniques used in the study of arithmetic groups to the study of these groups. One basic tool is the action of the group of outer automorphisms of a free group on a contractible space developed by the principal investigator and Marc Culler.